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Finding the Fourth Proportional to 497,347.34, 746,241.52 and 260,633.74

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Solution

The fourth proportional to 497,347.34, 746,241.52 and 260,633.74 is: 391,066.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,347.34 : 746,241.52 = 260,633.74 : x
  2. Step 2: Convert to fraction form
    497,347.34/746,241.52 = 260,633.74/x
  3. Step 3: Cross multiply
    497,347.34x = 746,241.52 × 260,633.74
  4. Step 4: Simplify right side
    497,347.34x = 194,495,718,300.89
  5. Step 5: Solve for x
    x = 194,495,718,300.89/497,347.34
  6. Step 6: Final answer
    x = 391,066.17

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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.