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Finding the Fourth Proportional to 472,417.76, 651,938.56 and 302,750.30

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Solution

The fourth proportional to 472,417.76, 651,938.56 and 302,750.30 is: 417,796.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,417.76 : 651,938.56 = 302,750.30 : x
  2. Step 2: Convert to fraction form
    472,417.76/651,938.56 = 302,750.30/x
  3. Step 3: Cross multiply
    472,417.76x = 651,938.56 × 302,750.30
  4. Step 4: Simplify right side
    472,417.76x = 197,374,594,621.57
  5. Step 5: Solve for x
    x = 197,374,594,621.57/472,417.76
  6. Step 6: Final answer
    x = 417,796.73

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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.