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Finding the Fourth Proportional to 435,501, 653,292.72 and 169,282.08

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Solution

The fourth proportional to 435,501, 653,292.72 and 169,282.08 is: 253,939.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,501 : 653,292.72 = 169,282.08 : x
  2. Step 2: Convert to fraction form
    435,501/653,292.72 = 169,282.08/x
  3. Step 3: Cross multiply
    435,501x = 653,292.72 × 169,282.08
  4. Step 4: Simplify right side
    435,501x = 110,590,750,490.46
  5. Step 5: Solve for x
    x = 110,590,750,490.46/435,501
  6. Step 6: Final answer
    x = 253,939.14

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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.