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Finding the Fourth Proportional to 576,054.10, 862,569.15 and 406,659.70

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Solution

The fourth proportional to 576,054.10, 862,569.15 and 406,659.70 is: 608,922.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,054.10 : 862,569.15 = 406,659.70 : x
  2. Step 2: Convert to fraction form
    576,054.10/862,569.15 = 406,659.70/x
  3. Step 3: Cross multiply
    576,054.10x = 862,569.15 × 406,659.70
  4. Step 4: Simplify right side
    576,054.10x = 350,772,111,768.26
  5. Step 5: Solve for x
    x = 350,772,111,768.26/576,054.10
  6. Step 6: Final answer
    x = 608,922.17

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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.