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Finding the Fourth Proportional to 288,969.60, 433,454.40 and 242,313.60

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Solution

The fourth proportional to 288,969.60, 433,454.40 and 242,313.60 is: 363,470.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,969.60 : 433,454.40 = 242,313.60 : x
  2. Step 2: Convert to fraction form
    288,969.60/433,454.40 = 242,313.60/x
  3. Step 3: Cross multiply
    288,969.60x = 433,454.40 × 242,313.60
  4. Step 4: Simplify right side
    288,969.60x = 105,031,896,099.84
  5. Step 5: Solve for x
    x = 105,031,896,099.84/288,969.60
  6. Step 6: Final answer
    x = 363,470.40

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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.