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Finding the Fourth Proportional to 473,298.64, 710,290.52 and 185,152.78

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Solution

The fourth proportional to 473,298.64, 710,290.52 and 185,152.78 is: 277,863.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,298.64 : 710,290.52 = 185,152.78 : x
  2. Step 2: Convert to fraction form
    473,298.64/710,290.52 = 185,152.78/x
  3. Step 3: Cross multiply
    473,298.64x = 710,290.52 × 185,152.78
  4. Step 4: Simplify right side
    473,298.64x = 131,512,264,385.65
  5. Step 5: Solve for x
    x = 131,512,264,385.65/473,298.64
  6. Step 6: Final answer
    x = 277,863.18

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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.