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Finding the Fourth Proportional to 310,325.40, 465,488.10 and 289,330.20

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Solution

The fourth proportional to 310,325.40, 465,488.10 and 289,330.20 is: 433,995.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,325.40 : 465,488.10 = 289,330.20 : x
  2. Step 2: Convert to fraction form
    310,325.40/465,488.10 = 289,330.20/x
  3. Step 3: Cross multiply
    310,325.40x = 465,488.10 × 289,330.20
  4. Step 4: Simplify right side
    310,325.40x = 134,679,765,070.62
  5. Step 5: Solve for x
    x = 134,679,765,070.62/310,325.40
  6. Step 6: Final answer
    x = 433,995.30

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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.