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Finding the Fourth Proportional to 390,877.80, 586,402.74 and 222,477.36

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Solution

The fourth proportional to 390,877.80, 586,402.74 and 222,477.36 is: 333,765.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,877.80 : 586,402.74 = 222,477.36 : x
  2. Step 2: Convert to fraction form
    390,877.80/586,402.74 = 222,477.36/x
  3. Step 3: Cross multiply
    390,877.80x = 586,402.74 × 222,477.36
  4. Step 4: Simplify right side
    390,877.80x = 130,461,333,491.97
  5. Step 5: Solve for x
    x = 130,461,333,491.97/390,877.80
  6. Step 6: Final answer
    x = 333,765.01

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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.