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Finding the Fourth Proportional to 576,004.90, 864,007.35 and 492,024.10

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Solution

The fourth proportional to 576,004.90, 864,007.35 and 492,024.10 is: 738,036.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,004.90 : 864,007.35 = 492,024.10 : x
  2. Step 2: Convert to fraction form
    576,004.90/864,007.35 = 492,024.10/x
  3. Step 3: Cross multiply
    576,004.90x = 864,007.35 × 492,024.10
  4. Step 4: Simplify right side
    576,004.90x = 425,112,438,777.14
  5. Step 5: Solve for x
    x = 425,112,438,777.14/576,004.90
  6. Step 6: Final answer
    x = 738,036.15

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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.