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Finding the Fourth Proportional to 410,001.60, 564,962.40 and 302,401.20

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Solution

The fourth proportional to 410,001.60, 564,962.40 and 302,401.20 is: 416,694.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,001.60 : 564,962.40 = 302,401.20 : x
  2. Step 2: Convert to fraction form
    410,001.60/564,962.40 = 302,401.20/x
  3. Step 3: Cross multiply
    410,001.60x = 564,962.40 × 302,401.20
  4. Step 4: Simplify right side
    410,001.60x = 170,845,307,714.88
  5. Step 5: Solve for x
    x = 170,845,307,714.88/410,001.60
  6. Step 6: Final answer
    x = 416,694.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.