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Finding the Fourth Proportional to 401,034.90, 601,552.35 and 164,547.30

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Solution

The fourth proportional to 401,034.90, 601,552.35 and 164,547.30 is: 246,820.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,034.90 : 601,552.35 = 164,547.30 : x
  2. Step 2: Convert to fraction form
    401,034.90/601,552.35 = 164,547.30/x
  3. Step 3: Cross multiply
    401,034.90x = 601,552.35 × 164,547.30
  4. Step 4: Simplify right side
    401,034.90x = 98,983,815,001.16
  5. Step 5: Solve for x
    x = 98,983,815,001.16/401,034.90
  6. Step 6: Final answer
    x = 246,820.95

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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.