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Finding the Fourth Proportional to 402,632.16, 604,013.76 and 149,913.60

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Solution

The fourth proportional to 402,632.16, 604,013.76 and 149,913.60 is: 224,894.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,632.16 : 604,013.76 = 149,913.60 : x
  2. Step 2: Convert to fraction form
    402,632.16/604,013.76 = 149,913.60/x
  3. Step 3: Cross multiply
    402,632.16x = 604,013.76 × 149,913.60
  4. Step 4: Simplify right side
    402,632.16x = 90,549,877,211.14
  5. Step 5: Solve for x
    x = 90,549,877,211.14/402,632.16
  6. Step 6: Final answer
    x = 224,894.80

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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.