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Finding the Fourth Proportional to 280,390.10, 386,938.08 and 153,065.66

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Solution

The fourth proportional to 280,390.10, 386,938.08 and 153,065.66 is: 211,230.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,390.10 : 386,938.08 = 153,065.66 : x
  2. Step 2: Convert to fraction form
    280,390.10/386,938.08 = 153,065.66/x
  3. Step 3: Cross multiply
    280,390.10x = 386,938.08 × 153,065.66
  4. Step 4: Simplify right side
    280,390.10x = 59,226,930,659.64
  5. Step 5: Solve for x
    x = 59,226,930,659.64/280,390.10
  6. Step 6: Final answer
    x = 211,230.47

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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.