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Finding the Fourth Proportional to 492,041.10, 738,061.65 and 492,041.10

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Solution

The fourth proportional to 492,041.10, 738,061.65 and 492,041.10 is: 738,061.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,041.10 : 738,061.65 = 492,041.10 : x
  2. Step 2: Convert to fraction form
    492,041.10/738,061.65 = 492,041.10/x
  3. Step 3: Cross multiply
    492,041.10x = 738,061.65 × 492,041.10
  4. Step 4: Simplify right side
    492,041.10x = 363,156,666,133.82
  5. Step 5: Solve for x
    x = 363,156,666,133.82/492,041.10
  6. Step 6: Final answer
    x = 738,061.65

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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.