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Finding the Fourth Proportional to 473,302.64, 710,296.52 and 185,156.78

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Solution

The fourth proportional to 473,302.64, 710,296.52 and 185,156.78 is: 277,869.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,302.64 : 710,296.52 = 185,156.78 : x
  2. Step 2: Convert to fraction form
    473,302.64/710,296.52 = 185,156.78/x
  3. Step 3: Cross multiply
    473,302.64x = 710,296.52 × 185,156.78
  4. Step 4: Simplify right side
    473,302.64x = 131,516,216,488.41
  5. Step 5: Solve for x
    x = 131,516,216,488.41/473,302.64
  6. Step 6: Final answer
    x = 277,869.18

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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.