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Finding the Fourth Proportional to 677,700, 1,016,550 and 234,468

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Solution

The fourth proportional to 677,700, 1,016,550 and 234,468 is: 351,702

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,700 : 1,016,550 = 234,468 : x
  2. Step 2: Convert to fraction form
    677,700/1,016,550 = 234,468/x
  3. Step 3: Cross multiply
    677,700x = 1,016,550 × 234,468
  4. Step 4: Simplify right side
    677,700x = 238,348,445,400
  5. Step 5: Solve for x
    x = 238,348,445,400/677,700
  6. Step 6: Final answer
    x = 351,702

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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.