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Finding the Fourth Proportional to 287,046.64, 430,569.55 and 97,526.69

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Solution

The fourth proportional to 287,046.64, 430,569.55 and 97,526.69 is: 146,289.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,046.64 : 430,569.55 = 97,526.69 : x
  2. Step 2: Convert to fraction form
    287,046.64/430,569.55 = 97,526.69/x
  3. Step 3: Cross multiply
    287,046.64x = 430,569.55 × 97,526.69
  4. Step 4: Simplify right side
    287,046.64x = 41,992,020,385.81
  5. Step 5: Solve for x
    x = 41,992,020,385.81/287,046.64
  6. Step 6: Final answer
    x = 146,289.89

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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.