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Finding the Fourth Proportional to 465,194.40, 698,447.70 and 288,047.40

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Solution

The fourth proportional to 465,194.40, 698,447.70 and 288,047.40 is: 432,477.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,194.40 : 698,447.70 = 288,047.40 : x
  2. Step 2: Convert to fraction form
    465,194.40/698,447.70 = 288,047.40/x
  3. Step 3: Cross multiply
    465,194.40x = 698,447.70 × 288,047.40
  4. Step 4: Simplify right side
    465,194.40x = 201,186,044,020.98
  5. Step 5: Solve for x
    x = 201,186,044,020.98/465,194.40
  6. Step 6: Final answer
    x = 432,477.36

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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.