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Finding the Fourth Proportional to 719,673.84, 991,834.20 and 477,529.20

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Solution

The fourth proportional to 719,673.84, 991,834.20 and 477,529.20 is: 658,117.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,673.84 : 991,834.20 = 477,529.20 : x
  2. Step 2: Convert to fraction form
    719,673.84/991,834.20 = 477,529.20/x
  3. Step 3: Cross multiply
    719,673.84x = 991,834.20 × 477,529.20
  4. Step 4: Simplify right side
    719,673.84x = 473,629,792,058.64
  5. Step 5: Solve for x
    x = 473,629,792,058.64/719,673.84
  6. Step 6: Final answer
    x = 658,117.28

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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.