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Finding the Fourth Proportional to 465,959.20, 699,457.20 and 288,666.40

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Solution

The fourth proportional to 465,959.20, 699,457.20 and 288,666.40 is: 433,320.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,959.20 : 699,457.20 = 288,666.40 : x
  2. Step 2: Convert to fraction form
    465,959.20/699,457.20 = 288,666.40/x
  3. Step 3: Cross multiply
    465,959.20x = 699,457.20 × 288,666.40
  4. Step 4: Simplify right side
    465,959.20x = 201,909,791,878.08
  5. Step 5: Solve for x
    x = 201,909,791,878.08/465,959.20
  6. Step 6: Final answer
    x = 433,320.75

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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.