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Finding the Fourth Proportional to 594,564.30, 891,982.68 and 257,661.50

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Solution

The fourth proportional to 594,564.30, 891,982.68 and 257,661.50 is: 386,551.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,564.30 : 891,982.68 = 257,661.50 : x
  2. Step 2: Convert to fraction form
    594,564.30/891,982.68 = 257,661.50/x
  3. Step 3: Cross multiply
    594,564.30x = 891,982.68 × 257,661.50
  4. Step 4: Simplify right side
    594,564.30x = 229,829,596,888.62
  5. Step 5: Solve for x
    x = 229,829,596,888.62/594,564.30
  6. Step 6: Final answer
    x = 386,551.29

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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.