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Finding the Fourth Proportional to 514,283.48, 771,475.98 and 177,279.77

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Solution

The fourth proportional to 514,283.48, 771,475.98 and 177,279.77 is: 265,937.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,283.48 : 771,475.98 = 177,279.77 : x
  2. Step 2: Convert to fraction form
    514,283.48/771,475.98 = 177,279.77/x
  3. Step 3: Cross multiply
    514,283.48x = 771,475.98 × 177,279.77
  4. Step 4: Simplify right side
    514,283.48x = 136,767,084,294.93
  5. Step 5: Solve for x
    x = 136,767,084,294.93/514,283.48
  6. Step 6: Final answer
    x = 265,937.15

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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.