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Finding the Fourth Proportional to 709,042.04, 978,491.32 and 386,763.64

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Solution

The fourth proportional to 709,042.04, 978,491.32 and 386,763.64 is: 533,741.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,042.04 : 978,491.32 = 386,763.64 : x
  2. Step 2: Convert to fraction form
    709,042.04/978,491.32 = 386,763.64/x
  3. Step 3: Cross multiply
    709,042.04x = 978,491.32 × 386,763.64
  4. Step 4: Simplify right side
    709,042.04x = 378,444,864,631.61
  5. Step 5: Solve for x
    x = 378,444,864,631.61/709,042.04
  6. Step 6: Final answer
    x = 533,741.08

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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.