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Finding the Fourth Proportional to 709,205.10, 959,293.13 and 709,205.10

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Solution

The fourth proportional to 709,205.10, 959,293.13 and 709,205.10 is: 959,293.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,205.10 : 959,293.13 = 709,205.10 : x
  2. Step 2: Convert to fraction form
    709,205.10/959,293.13 = 709,205.10/x
  3. Step 3: Cross multiply
    709,205.10x = 959,293.13 × 709,205.10
  4. Step 4: Simplify right side
    709,205.10x = 680,335,576,644.94
  5. Step 5: Solve for x
    x = 680,335,576,644.94/709,205.10
  6. Step 6: Final answer
    x = 959,293.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.