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Finding the Fourth Proportional to 403,228.60, 604,842.90 and 277,257.40

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Solution

The fourth proportional to 403,228.60, 604,842.90 and 277,257.40 is: 415,886.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,228.60 : 604,842.90 = 277,257.40 : x
  2. Step 2: Convert to fraction form
    403,228.60/604,842.90 = 277,257.40/x
  3. Step 3: Cross multiply
    403,228.60x = 604,842.90 × 277,257.40
  4. Step 4: Simplify right side
    403,228.60x = 167,697,169,862.46
  5. Step 5: Solve for x
    x = 167,697,169,862.46/403,228.60
  6. Step 6: Final answer
    x = 415,886.10

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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.