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Finding the Fourth Proportional to 552,643.86, 828,965.76 and 153,284.70

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Solution

The fourth proportional to 552,643.86, 828,965.76 and 153,284.70 is: 229,927.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,643.86 : 828,965.76 = 153,284.70 : x
  2. Step 2: Convert to fraction form
    552,643.86/828,965.76 = 153,284.70/x
  3. Step 3: Cross multiply
    552,643.86x = 828,965.76 × 153,284.70
  4. Step 4: Simplify right side
    552,643.86x = 127,067,767,831.87
  5. Step 5: Solve for x
    x = 127,067,767,831.87/552,643.86
  6. Step 6: Final answer
    x = 229,927.04

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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.