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Finding the Fourth Proportional to 462,117.80, 692,010.30 and 303,487.40

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Solution

The fourth proportional to 462,117.80, 692,010.30 and 303,487.40 is: 454,465.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,117.80 : 692,010.30 = 303,487.40 : x
  2. Step 2: Convert to fraction form
    462,117.80/692,010.30 = 303,487.40/x
  3. Step 3: Cross multiply
    462,117.80x = 692,010.30 × 303,487.40
  4. Step 4: Simplify right side
    462,117.80x = 210,016,406,720.22
  5. Step 5: Solve for x
    x = 210,016,406,720.22/462,117.80
  6. Step 6: Final answer
    x = 454,465.09

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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.