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Finding the Fourth Proportional to 473,282, 653,125.84 and 258,421.92

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Solution

The fourth proportional to 473,282, 653,125.84 and 258,421.92 is: 356,620.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,282 : 653,125.84 = 258,421.92 : x
  2. Step 2: Convert to fraction form
    473,282/653,125.84 = 258,421.92/x
  3. Step 3: Cross multiply
    473,282x = 653,125.84 × 258,421.92
  4. Step 4: Simplify right side
    473,282x = 168,782,033,574.41
  5. Step 5: Solve for x
    x = 168,782,033,574.41/473,282
  6. Step 6: Final answer
    x = 356,620.44

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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.