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Finding the Fourth Proportional to 512,265.05, 706,911.68 and 282,818.16

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Solution

The fourth proportional to 512,265.05, 706,911.68 and 282,818.16 is: 390,281.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,265.05 : 706,911.68 = 282,818.16 : x
  2. Step 2: Convert to fraction form
    512,265.05/706,911.68 = 282,818.16/x
  3. Step 3: Cross multiply
    512,265.05x = 706,911.68 × 282,818.16
  4. Step 4: Simplify right side
    512,265.05x = 199,927,459,206.02
  5. Step 5: Solve for x
    x = 199,927,459,206.02/512,265.05
  6. Step 6: Final answer
    x = 390,281.28

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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.