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Finding the Fourth Proportional to 385,801.52, 532,545.84 and 314,056.98

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Solution

The fourth proportional to 385,801.52, 532,545.84 and 314,056.98 is: 433,512.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,801.52 : 532,545.84 = 314,056.98 : x
  2. Step 2: Convert to fraction form
    385,801.52/532,545.84 = 314,056.98/x
  3. Step 3: Cross multiply
    385,801.52x = 532,545.84 × 314,056.98
  4. Step 4: Simplify right side
    385,801.52x = 167,249,738,221.96
  5. Step 5: Solve for x
    x = 167,249,738,221.96/385,801.52
  6. Step 6: Final answer
    x = 433,512.39

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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.