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Finding the Fourth Proportional to 707,071.11, 975,756.31 and 384,781.12

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Solution

The fourth proportional to 707,071.11, 975,756.31 and 384,781.12 is: 530,996.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,071.11 : 975,756.31 = 384,781.12 : x
  2. Step 2: Convert to fraction form
    707,071.11/975,756.31 = 384,781.12/x
  3. Step 3: Cross multiply
    707,071.11x = 975,756.31 × 384,781.12
  4. Step 4: Simplify right side
    707,071.11x = 375,452,602,407.52
  5. Step 5: Solve for x
    x = 375,452,602,407.52/707,071.11
  6. Step 6: Final answer
    x = 530,996.95

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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.