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Finding the Fourth Proportional to 475,653.87, 712,530.18 and 286,010.46

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Solution

The fourth proportional to 475,653.87, 712,530.18 and 286,010.46 is: 428,444.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,653.87 : 712,530.18 = 286,010.46 : x
  2. Step 2: Convert to fraction form
    475,653.87/712,530.18 = 286,010.46/x
  3. Step 3: Cross multiply
    475,653.87x = 712,530.18 × 286,010.46
  4. Step 4: Simplify right side
    475,653.87x = 203,791,084,545.68
  5. Step 5: Solve for x
    x = 203,791,084,545.68/475,653.87
  6. Step 6: Final answer
    x = 428,444.08

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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.