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Finding the Fourth Proportional to 456,482.70, 685,285.65 and 288,002.70

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Solution

The fourth proportional to 456,482.70, 685,285.65 and 288,002.70 is: 432,358.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,482.70 : 685,285.65 = 288,002.70 : x
  2. Step 2: Convert to fraction form
    456,482.70/685,285.65 = 288,002.70/x
  3. Step 3: Cross multiply
    456,482.70x = 685,285.65 × 288,002.70
  4. Step 4: Simplify right side
    456,482.70x = 197,364,117,471.26
  5. Step 5: Solve for x
    x = 197,364,117,471.26/456,482.70
  6. Step 6: Final answer
    x = 432,358.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.