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Finding the Fourth Proportional to 429,731.64, 592,994.91 and 248,455.20

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Solution

The fourth proportional to 429,731.64, 592,994.91 and 248,455.20 is: 342,848.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,731.64 : 592,994.91 = 248,455.20 : x
  2. Step 2: Convert to fraction form
    429,731.64/592,994.91 = 248,455.20/x
  3. Step 3: Cross multiply
    429,731.64x = 592,994.91 × 248,455.20
  4. Step 4: Simplify right side
    429,731.64x = 147,332,668,963.03
  5. Step 5: Solve for x
    x = 147,332,668,963.03/429,731.64
  6. Step 6: Final answer
    x = 342,848.08

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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.