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Finding the Fourth Proportional to 706,686.44, 975,296.10 and 527,527.40

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Solution

The fourth proportional to 706,686.44, 975,296.10 and 527,527.40 is: 728,039.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,686.44 : 975,296.10 = 527,527.40 : x
  2. Step 2: Convert to fraction form
    706,686.44/975,296.10 = 527,527.40/x
  3. Step 3: Cross multiply
    706,686.44x = 975,296.10 × 527,527.40
  4. Step 4: Simplify right side
    706,686.44x = 514,495,415,863.14
  5. Step 5: Solve for x
    x = 514,495,415,863.14/706,686.44
  6. Step 6: Final answer
    x = 728,039.18

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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.