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Finding the Fourth Proportional to 282,459.65, 389,794.64 and 153,398.21

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Solution

The fourth proportional to 282,459.65, 389,794.64 and 153,398.21 is: 211,689.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,459.65 : 389,794.64 = 153,398.21 : x
  2. Step 2: Convert to fraction form
    282,459.65/389,794.64 = 153,398.21/x
  3. Step 3: Cross multiply
    282,459.65x = 389,794.64 × 153,398.21
  4. Step 4: Simplify right side
    282,459.65x = 59,793,797,327.63
  5. Step 5: Solve for x
    x = 59,793,797,327.63/282,459.65
  6. Step 6: Final answer
    x = 211,689.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.