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Finding the Fourth Proportional to 423,084.90, 634,030.65 and 233,630.55

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Solution

The fourth proportional to 423,084.90, 634,030.65 and 233,630.55 is: 350,116.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,084.90 : 634,030.65 = 233,630.55 : x
  2. Step 2: Convert to fraction form
    423,084.90/634,030.65 = 233,630.55/x
  3. Step 3: Cross multiply
    423,084.90x = 634,030.65 × 233,630.55
  4. Step 4: Simplify right side
    423,084.90x = 148,128,929,476.36
  5. Step 5: Solve for x
    x = 148,128,929,476.36/423,084.90
  6. Step 6: Final answer
    x = 350,116.32

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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.