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Finding the Fourth Proportional to 574,827.60, 803,184 and 574,827.60

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Solution

The fourth proportional to 574,827.60, 803,184 and 574,827.60 is: 803,184

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,827.60 : 803,184 = 574,827.60 : x
  2. Step 2: Convert to fraction form
    574,827.60/803,184 = 574,827.60/x
  3. Step 3: Cross multiply
    574,827.60x = 803,184 × 574,827.60
  4. Step 4: Simplify right side
    574,827.60x = 461,692,331,078.40
  5. Step 5: Solve for x
    x = 461,692,331,078.40/574,827.60
  6. Step 6: Final answer
    x = 803,184

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.