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Finding the Fourth Proportional to 382,506.60, 573,759.90 and 314,855.40

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Solution

The fourth proportional to 382,506.60, 573,759.90 and 314,855.40 is: 472,283.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,506.60 : 573,759.90 = 314,855.40 : x
  2. Step 2: Convert to fraction form
    382,506.60/573,759.90 = 314,855.40/x
  3. Step 3: Cross multiply
    382,506.60x = 573,759.90 × 314,855.40
  4. Step 4: Simplify right side
    382,506.60x = 180,651,402,818.46
  5. Step 5: Solve for x
    x = 180,651,402,818.46/382,506.60
  6. Step 6: Final answer
    x = 472,283.10

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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.