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Finding the Fourth Proportional to 577,831.10, 866,864.86 and 198,702.60

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Solution

The fourth proportional to 577,831.10, 866,864.86 and 198,702.60 is: 298,094.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,831.10 : 866,864.86 = 198,702.60 : x
  2. Step 2: Convert to fraction form
    577,831.10/866,864.86 = 198,702.60/x
  3. Step 3: Cross multiply
    577,831.10x = 866,864.86 × 198,702.60
  4. Step 4: Simplify right side
    577,831.10x = 172,248,301,530.64
  5. Step 5: Solve for x
    x = 172,248,301,530.64/577,831.10
  6. Step 6: Final answer
    x = 298,094.55

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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.