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Finding the Fourth Proportional to 417,466.88, 575,724.12 and 353,071.04

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Solution

The fourth proportional to 417,466.88, 575,724.12 and 353,071.04 is: 486,916.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,466.88 : 575,724.12 = 353,071.04 : x
  2. Step 2: Convert to fraction form
    417,466.88/575,724.12 = 353,071.04/x
  3. Step 3: Cross multiply
    417,466.88x = 575,724.12 × 353,071.04
  4. Step 4: Simplify right side
    417,466.88x = 203,271,513,801.49
  5. Step 5: Solve for x
    x = 203,271,513,801.49/417,466.88
  6. Step 6: Final answer
    x = 486,916.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.