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Finding the Fourth Proportional to 497,138.90, 745,832.55 and 160,211.30

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Solution

The fourth proportional to 497,138.90, 745,832.55 and 160,211.30 is: 240,356.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,138.90 : 745,832.55 = 160,211.30 : x
  2. Step 2: Convert to fraction form
    497,138.90/745,832.55 = 160,211.30/x
  3. Step 3: Cross multiply
    497,138.90x = 745,832.55 × 160,211.30
  4. Step 4: Simplify right side
    497,138.90x = 119,490,802,417.82
  5. Step 5: Solve for x
    x = 119,490,802,417.82/497,138.90
  6. Step 6: Final answer
    x = 240,356.98

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