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Finding the Fourth Proportional to 611,563.60, 917,564.10 and 256,686.40

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Solution

The fourth proportional to 611,563.60, 917,564.10 and 256,686.40 is: 385,121.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,563.60 : 917,564.10 = 256,686.40 : x
  2. Step 2: Convert to fraction form
    611,563.60/917,564.10 = 256,686.40/x
  3. Step 3: Cross multiply
    611,563.60x = 917,564.10 × 256,686.40
  4. Step 4: Simplify right side
    611,563.60x = 235,526,225,598.24
  5. Step 5: Solve for x
    x = 235,526,225,598.24/611,563.60
  6. Step 6: Final answer
    x = 385,121.39

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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.