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Finding the Fourth Proportional to 578,426.94, 867,614.85 and 157,702.86

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Solution

The fourth proportional to 578,426.94, 867,614.85 and 157,702.86 is: 236,547.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,426.94 : 867,614.85 = 157,702.86 : x
  2. Step 2: Convert to fraction form
    578,426.94/867,614.85 = 157,702.86/x
  3. Step 3: Cross multiply
    578,426.94x = 867,614.85 × 157,702.86
  4. Step 4: Simplify right side
    578,426.94x = 136,825,343,223.47
  5. Step 5: Solve for x
    x = 136,825,343,223.47/578,426.94
  6. Step 6: Final answer
    x = 236,547.32

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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.