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Finding the Fourth Proportional to 473,332.95, 709,994.30 and 378,116.43

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Solution

The fourth proportional to 473,332.95, 709,994.30 and 378,116.43 is: 567,170.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,332.95 : 709,994.30 = 378,116.43 : x
  2. Step 2: Convert to fraction form
    473,332.95/709,994.30 = 378,116.43/x
  3. Step 3: Cross multiply
    473,332.95x = 709,994.30 × 378,116.43
  4. Step 4: Simplify right side
    473,332.95x = 268,460,508,145.77
  5. Step 5: Solve for x
    x = 268,460,508,145.77/473,332.95
  6. Step 6: Final answer
    x = 567,170.55

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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.