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Finding the Fourth Proportional to 407,549.04, 611,126.94 and 170,828.16

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Solution

The fourth proportional to 407,549.04, 611,126.94 and 170,828.16 is: 256,159.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,549.04 : 611,126.94 = 170,828.16 : x
  2. Step 2: Convert to fraction form
    407,549.04/611,126.94 = 170,828.16/x
  3. Step 3: Cross multiply
    407,549.04x = 611,126.94 × 170,828.16
  4. Step 4: Simplify right side
    407,549.04x = 104,397,690,686.63
  5. Step 5: Solve for x
    x = 104,397,690,686.63/407,549.04
  6. Step 6: Final answer
    x = 256,159.82

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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.