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Finding the Fourth Proportional to 473,411.30, 710,116.95 and 367,657.70

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Solution

The fourth proportional to 473,411.30, 710,116.95 and 367,657.70 is: 551,486.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,411.30 : 710,116.95 = 367,657.70 : x
  2. Step 2: Convert to fraction form
    473,411.30/710,116.95 = 367,657.70/x
  3. Step 3: Cross multiply
    473,411.30x = 710,116.95 × 367,657.70
  4. Step 4: Simplify right side
    473,411.30x = 261,079,964,568.02
  5. Step 5: Solve for x
    x = 261,079,964,568.02/473,411.30
  6. Step 6: Final answer
    x = 551,486.55

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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.