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Finding the Fourth Proportional to 465,785.04, 698,677.80 and 199,373.04

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Solution

The fourth proportional to 465,785.04, 698,677.80 and 199,373.04 is: 299,059.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,785.04 : 698,677.80 = 199,373.04 : x
  2. Step 2: Convert to fraction form
    465,785.04/698,677.80 = 199,373.04/x
  3. Step 3: Cross multiply
    465,785.04x = 698,677.80 × 199,373.04
  4. Step 4: Simplify right side
    465,785.04x = 139,297,516,966.51
  5. Step 5: Solve for x
    x = 139,297,516,966.51/465,785.04
  6. Step 6: Final answer
    x = 299,059.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.