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Finding the Fourth Proportional to 410,659.60, 616,075.80 and 173,880.40

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Solution

The fourth proportional to 410,659.60, 616,075.80 and 173,880.40 is: 260,857.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,659.60 : 616,075.80 = 173,880.40 : x
  2. Step 2: Convert to fraction form
    410,659.60/616,075.80 = 173,880.40/x
  3. Step 3: Cross multiply
    410,659.60x = 616,075.80 × 173,880.40
  4. Step 4: Simplify right side
    410,659.60x = 107,123,506,534.32
  5. Step 5: Solve for x
    x = 107,123,506,534.32/410,659.60
  6. Step 6: Final answer
    x = 260,857.18

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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.