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Finding the Fourth Proportional to 1,024,603.02, 1,413,945.72 and 565,746.12

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Solution

The fourth proportional to 1,024,603.02, 1,413,945.72 and 565,746.12 is: 780,726.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024,603.02 : 1,413,945.72 = 565,746.12 : x
  2. Step 2: Convert to fraction form
    1,024,603.02/1,413,945.72 = 565,746.12/x
  3. Step 3: Cross multiply
    1,024,603.02x = 1,413,945.72 × 565,746.12
  4. Step 4: Simplify right side
    1,024,603.02x = 799,934,304,980.61
  5. Step 5: Solve for x
    x = 799,934,304,980.61/1,024,603.02
  6. Step 6: Final answer
    x = 780,726.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.