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Finding the Fourth Proportional to 280,151.64, 386,605.98 and 152,828.28

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Solution

The fourth proportional to 280,151.64, 386,605.98 and 152,828.28 is: 210,901.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,151.64 : 386,605.98 = 152,828.28 : x
  2. Step 2: Convert to fraction form
    280,151.64/386,605.98 = 152,828.28/x
  3. Step 3: Cross multiply
    280,151.64x = 386,605.98 × 152,828.28
  4. Step 4: Simplify right side
    280,151.64x = 59,084,326,961.11
  5. Step 5: Solve for x
    x = 59,084,326,961.11/280,151.64
  6. Step 6: Final answer
    x = 210,901.24

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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.