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Finding the Fourth Proportional to 473,497.80, 653,442.66 and 258,657.90

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Solution

The fourth proportional to 473,497.80, 653,442.66 and 258,657.90 is: 356,956.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,497.80 : 653,442.66 = 258,657.90 : x
  2. Step 2: Convert to fraction form
    473,497.80/653,442.66 = 258,657.90/x
  3. Step 3: Cross multiply
    473,497.80x = 653,442.66 × 258,657.90
  4. Step 4: Simplify right side
    473,497.80x = 169,018,106,206.01
  5. Step 5: Solve for x
    x = 169,018,106,206.01/473,497.80
  6. Step 6: Final answer
    x = 356,956.48

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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.