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Finding the Fourth Proportional to 497,411.40, 746,117.10 and 347,820.60

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Solution

The fourth proportional to 497,411.40, 746,117.10 and 347,820.60 is: 521,730.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,411.40 : 746,117.10 = 347,820.60 : x
  2. Step 2: Convert to fraction form
    497,411.40/746,117.10 = 347,820.60/x
  3. Step 3: Cross multiply
    497,411.40x = 746,117.10 × 347,820.60
  4. Step 4: Simplify right side
    497,411.40x = 259,514,897,392.26
  5. Step 5: Solve for x
    x = 259,514,897,392.26/497,411.40
  6. Step 6: Final answer
    x = 521,730.90

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.