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Finding the Fourth Proportional to 497,010.60, 745,515.90 and 429,359.40

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Solution

The fourth proportional to 497,010.60, 745,515.90 and 429,359.40 is: 644,039.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,010.60 : 745,515.90 = 429,359.40 : x
  2. Step 2: Convert to fraction form
    497,010.60/745,515.90 = 429,359.40/x
  3. Step 3: Cross multiply
    497,010.60x = 745,515.90 × 429,359.40
  4. Step 4: Simplify right side
    497,010.60x = 320,094,259,514.46
  5. Step 5: Solve for x
    x = 320,094,259,514.46/497,010.60
  6. Step 6: Final answer
    x = 644,039.10

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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.