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Finding the Fourth Proportional to 473,488.64, 710,248.09 and 185,288.86

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Solution

The fourth proportional to 473,488.64, 710,248.09 and 185,288.86 is: 277,939.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,488.64 : 710,248.09 = 185,288.86 : x
  2. Step 2: Convert to fraction form
    473,488.64/710,248.09 = 185,288.86/x
  3. Step 3: Cross multiply
    473,488.64x = 710,248.09 × 185,288.86
  4. Step 4: Simplify right side
    473,488.64x = 131,601,055,362.04
  5. Step 5: Solve for x
    x = 131,601,055,362.04/473,488.64
  6. Step 6: Final answer
    x = 277,939.21

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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.