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Finding the Fourth Proportional to 473,798.25, 710,820.50 and 141,374.25

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Solution

The fourth proportional to 473,798.25, 710,820.50 and 141,374.25 is: 212,098.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,798.25 : 710,820.50 = 141,374.25 : x
  2. Step 2: Convert to fraction form
    473,798.25/710,820.50 = 141,374.25/x
  3. Step 3: Cross multiply
    473,798.25x = 710,820.50 × 141,374.25
  4. Step 4: Simplify right side
    473,798.25x = 100,491,714,365.25
  5. Step 5: Solve for x
    x = 100,491,714,365.25/473,798.25
  6. Step 6: Final answer
    x = 212,098.11

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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.