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Finding the Fourth Proportional to 462,058.40, 693,141.60 and 146,547.20

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Solution

The fourth proportional to 462,058.40, 693,141.60 and 146,547.20 is: 219,837.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,058.40 : 693,141.60 = 146,547.20 : x
  2. Step 2: Convert to fraction form
    462,058.40/693,141.60 = 146,547.20/x
  3. Step 3: Cross multiply
    462,058.40x = 693,141.60 × 146,547.20
  4. Step 4: Simplify right side
    462,058.40x = 101,577,960,683.52
  5. Step 5: Solve for x
    x = 101,577,960,683.52/462,058.40
  6. Step 6: Final answer
    x = 219,837.93

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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.