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Finding the Fourth Proportional to 473,445.76, 709,360.32 and 260,392

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Solution

The fourth proportional to 473,445.76, 709,360.32 and 260,392 is: 390,143.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,445.76 : 709,360.32 = 260,392 : x
  2. Step 2: Convert to fraction form
    473,445.76/709,360.32 = 260,392/x
  3. Step 3: Cross multiply
    473,445.76x = 709,360.32 × 260,392
  4. Step 4: Simplify right side
    473,445.76x = 184,711,752,445.44
  5. Step 5: Solve for x
    x = 184,711,752,445.44/473,445.76
  6. Step 6: Final answer
    x = 390,143.43

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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.