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Finding the Fourth Proportional to 310,734.80, 466,217.40 and 299,214.80

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Solution

The fourth proportional to 310,734.80, 466,217.40 and 299,214.80 is: 448,933.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,734.80 : 466,217.40 = 299,214.80 : x
  2. Step 2: Convert to fraction form
    310,734.80/466,217.40 = 299,214.80/x
  3. Step 3: Cross multiply
    310,734.80x = 466,217.40 × 299,214.80
  4. Step 4: Simplify right side
    310,734.80x = 139,499,146,097.52
  5. Step 5: Solve for x
    x = 139,499,146,097.52/310,734.80
  6. Step 6: Final answer
    x = 448,933.13

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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.