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Finding the Fourth Proportional to 554,223.80, 830,169.30 and 460,911.80

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Solution

The fourth proportional to 554,223.80, 830,169.30 and 460,911.80 is: 690,397.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,223.80 : 830,169.30 = 460,911.80 : x
  2. Step 2: Convert to fraction form
    554,223.80/830,169.30 = 460,911.80/x
  3. Step 3: Cross multiply
    554,223.80x = 830,169.30 × 460,911.80
  4. Step 4: Simplify right side
    554,223.80x = 382,634,826,367.74
  5. Step 5: Solve for x
    x = 382,634,826,367.74/554,223.80
  6. Step 6: Final answer
    x = 690,397.68

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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.