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Finding the Fourth Proportional to 289,320.10, 433,980.15 and 243,700.90

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Solution

The fourth proportional to 289,320.10, 433,980.15 and 243,700.90 is: 365,551.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,320.10 : 433,980.15 = 243,700.90 : x
  2. Step 2: Convert to fraction form
    289,320.10/433,980.15 = 243,700.90/x
  3. Step 3: Cross multiply
    289,320.10x = 433,980.15 × 243,700.90
  4. Step 4: Simplify right side
    289,320.10x = 105,761,353,137.14
  5. Step 5: Solve for x
    x = 105,761,353,137.14/289,320.10
  6. Step 6: Final answer
    x = 365,551.35

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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.