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Finding the Fourth Proportional to 473,432.77, 653,327.10 and 258,573.67

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Solution

The fourth proportional to 473,432.77, 653,327.10 and 258,573.67 is: 356,826.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,432.77 : 653,327.10 = 258,573.67 : x
  2. Step 2: Convert to fraction form
    473,432.77/653,327.10 = 258,573.67/x
  3. Step 3: Cross multiply
    473,432.77x = 653,327.10 × 258,573.67
  4. Step 4: Simplify right side
    473,432.77x = 168,933,185,957.46
  5. Step 5: Solve for x
    x = 168,933,185,957.46/473,432.77
  6. Step 6: Final answer
    x = 356,826.14

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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.