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Finding the Fourth Proportional to 473,312.80, 709,623.60 and 192,685.60

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Solution

The fourth proportional to 473,312.80, 709,623.60 and 192,685.60 is: 288,887.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,312.80 : 709,623.60 = 192,685.60 : x
  2. Step 2: Convert to fraction form
    473,312.80/709,623.60 = 192,685.60/x
  3. Step 3: Cross multiply
    473,312.80x = 709,623.60 × 192,685.60
  4. Step 4: Simplify right side
    473,312.80x = 136,734,249,140.16
  5. Step 5: Solve for x
    x = 136,734,249,140.16/473,312.80
  6. Step 6: Final answer
    x = 288,887.71

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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.