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Finding the Fourth Proportional to 520,038.30, 780,057.45 and 319,709.10

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Solution

The fourth proportional to 520,038.30, 780,057.45 and 319,709.10 is: 479,563.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,038.30 : 780,057.45 = 319,709.10 : x
  2. Step 2: Convert to fraction form
    520,038.30/780,057.45 = 319,709.10/x
  3. Step 3: Cross multiply
    520,038.30x = 780,057.45 × 319,709.10
  4. Step 4: Simplify right side
    520,038.30x = 249,391,465,287.80
  5. Step 5: Solve for x
    x = 249,391,465,287.80/520,038.30
  6. Step 6: Final answer
    x = 479,563.65

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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.