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Finding the Fourth Proportional to 561,901.60, 842,925.30 and 277,737.40

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Solution

The fourth proportional to 561,901.60, 842,925.30 and 277,737.40 is: 416,642.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,901.60 : 842,925.30 = 277,737.40 : x
  2. Step 2: Convert to fraction form
    561,901.60/842,925.30 = 277,737.40/x
  3. Step 3: Cross multiply
    561,901.60x = 842,925.30 × 277,737.40
  4. Step 4: Simplify right side
    561,901.60x = 234,111,881,216.22
  5. Step 5: Solve for x
    x = 234,111,881,216.22/561,901.60
  6. Step 6: Final answer
    x = 416,642.13

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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.