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Finding the Fourth Proportional to 462,080.40, 693,055.80 and 146,569.20

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Solution

The fourth proportional to 462,080.40, 693,055.80 and 146,569.20 is: 219,833.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,080.40 : 693,055.80 = 146,569.20 : x
  2. Step 2: Convert to fraction form
    462,080.40/693,055.80 = 146,569.20/x
  3. Step 3: Cross multiply
    462,080.40x = 693,055.80 × 146,569.20
  4. Step 4: Simplify right side
    462,080.40x = 101,580,634,161.36
  5. Step 5: Solve for x
    x = 101,580,634,161.36/462,080.40
  6. Step 6: Final answer
    x = 219,833.25

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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.