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Finding the Fourth Proportional to 462,386.40, 693,579.60 and 146,875.20

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Solution

The fourth proportional to 462,386.40, 693,579.60 and 146,875.20 is: 220,312.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,386.40 : 693,579.60 = 146,875.20 : x
  2. Step 2: Convert to fraction form
    462,386.40/693,579.60 = 146,875.20/x
  3. Step 3: Cross multiply
    462,386.40x = 693,579.60 × 146,875.20
  4. Step 4: Simplify right side
    462,386.40x = 101,869,642,465.92
  5. Step 5: Solve for x
    x = 101,869,642,465.92/462,386.40
  6. Step 6: Final answer
    x = 220,312.80

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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.