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Finding the Fourth Proportional to 497,234.10, 745,851.15 and 429,582.90

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Solution

The fourth proportional to 497,234.10, 745,851.15 and 429,582.90 is: 644,374.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,234.10 : 745,851.15 = 429,582.90 : x
  2. Step 2: Convert to fraction form
    497,234.10/745,851.15 = 429,582.90/x
  3. Step 3: Cross multiply
    497,234.10x = 745,851.15 × 429,582.90
  4. Step 4: Simplify right side
    497,234.10x = 320,404,899,985.34
  5. Step 5: Solve for x
    x = 320,404,899,985.34/497,234.10
  6. Step 6: Final answer
    x = 644,374.35

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Similar ratio
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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.