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Finding the Fourth Proportional to 840,507.84, 1,159,853.58 and 478,019.88

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Solution

The fourth proportional to 840,507.84, 1,159,853.58 and 478,019.88 is: 659,640.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,507.84 : 1,159,853.58 = 478,019.88 : x
  2. Step 2: Convert to fraction form
    840,507.84/1,159,853.58 = 478,019.88/x
  3. Step 3: Cross multiply
    840,507.84x = 1,159,853.58 × 478,019.88
  4. Step 4: Simplify right side
    840,507.84x = 554,433,069,129.17
  5. Step 5: Solve for x
    x = 554,433,069,129.17/840,507.84
  6. Step 6: Final answer
    x = 659,640.57

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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.