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Finding the Fourth Proportional to 515,853.95, 711,900.68 and 286,411.24

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Solution

The fourth proportional to 515,853.95, 711,900.68 and 286,411.24 is: 395,259.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,853.95 : 711,900.68 = 286,411.24 : x
  2. Step 2: Convert to fraction form
    515,853.95/711,900.68 = 286,411.24/x
  3. Step 3: Cross multiply
    515,853.95x = 711,900.68 × 286,411.24
  4. Step 4: Simplify right side
    515,853.95x = 203,896,355,083.59
  5. Step 5: Solve for x
    x = 203,896,355,083.59/515,853.95
  6. Step 6: Final answer
    x = 395,259.85

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1.5x scale

Why These Related Problems?

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