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Finding the Fourth Proportional to 502,535, 753,894.84 and 165,595.52

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Solution

The fourth proportional to 502,535, 753,894.84 and 165,595.52 is: 248,423.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,535 : 753,894.84 = 165,595.52 : x
  2. Step 2: Convert to fraction form
    502,535/753,894.84 = 165,595.52/x
  3. Step 3: Cross multiply
    502,535x = 753,894.84 × 165,595.52
  4. Step 4: Simplify right side
    502,535x = 124,841,608,055.12
  5. Step 5: Solve for x
    x = 124,841,608,055.12/502,535
  6. Step 6: Final answer
    x = 248,423.71

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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.