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Finding the Fourth Proportional to 566,034, 780,489.16 and 436,678.08

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Solution

The fourth proportional to 566,034, 780,489.16 and 436,678.08 is: 602,123.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,034 : 780,489.16 = 436,678.08 : x
  2. Step 2: Convert to fraction form
    566,034/780,489.16 = 436,678.08/x
  3. Step 3: Cross multiply
    566,034x = 780,489.16 × 436,678.08
  4. Step 4: Simplify right side
    566,034x = 340,822,507,849.61
  5. Step 5: Solve for x
    x = 340,822,507,849.61/566,034
  6. Step 6: Final answer
    x = 602,123.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.