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Finding the Fourth Proportional to 401,560, 602,374.56 and 106,072

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Solution

The fourth proportional to 401,560, 602,374.56 and 106,072 is: 159,117.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,560 : 602,374.56 = 106,072 : x
  2. Step 2: Convert to fraction form
    401,560/602,374.56 = 106,072/x
  3. Step 3: Cross multiply
    401,560x = 602,374.56 × 106,072
  4. Step 4: Simplify right side
    401,560x = 63,895,074,328.32
  5. Step 5: Solve for x
    x = 63,895,074,328.32/401,560
  6. Step 6: Final answer
    x = 159,117.13

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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.