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Finding the Fourth Proportional to 710,105.85, 979,970.26 and 419,966.13

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Solution

The fourth proportional to 710,105.85, 979,970.26 and 419,966.13 is: 579,567.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,105.85 : 979,970.26 = 419,966.13 : x
  2. Step 2: Convert to fraction form
    710,105.85/979,970.26 = 419,966.13/x
  3. Step 3: Cross multiply
    710,105.85x = 979,970.26 × 419,966.13
  4. Step 4: Simplify right side
    710,105.85x = 411,554,317,782.34
  5. Step 5: Solve for x
    x = 411,554,317,782.34/710,105.85
  6. Step 6: Final answer
    x = 579,567.56

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1.5x scale

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.