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Finding the Fourth Proportional to 466,592.04, 699,341.74 and 178,214.60

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Solution

The fourth proportional to 466,592.04, 699,341.74 and 178,214.60 is: 267,113.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,592.04 : 699,341.74 = 178,214.60 : x
  2. Step 2: Convert to fraction form
    466,592.04/699,341.74 = 178,214.60/x
  3. Step 3: Cross multiply
    466,592.04x = 699,341.74 × 178,214.60
  4. Step 4: Simplify right side
    466,592.04x = 124,632,908,457.40
  5. Step 5: Solve for x
    x = 124,632,908,457.40/466,592.04
  6. Step 6: Final answer
    x = 267,113.23

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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.