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Finding the Fourth Proportional to 706,235.28, 975,006.36 and 465,218.16

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Solution

The fourth proportional to 706,235.28, 975,006.36 and 465,218.16 is: 642,265.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,235.28 : 975,006.36 = 465,218.16 : x
  2. Step 2: Convert to fraction form
    706,235.28/975,006.36 = 465,218.16/x
  3. Step 3: Cross multiply
    706,235.28x = 975,006.36 × 465,218.16
  4. Step 4: Simplify right side
    706,235.28x = 453,590,664,787.50
  5. Step 5: Solve for x
    x = 453,590,664,787.50/706,235.28
  6. Step 6: Final answer
    x = 642,265.66

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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.