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Finding the Fourth Proportional to 462,112.80, 692,002.80 and 303,482.40

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Solution

The fourth proportional to 462,112.80, 692,002.80 and 303,482.40 is: 454,457.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,112.80 : 692,002.80 = 303,482.40 : x
  2. Step 2: Convert to fraction form
    462,112.80/692,002.80 = 303,482.40/x
  3. Step 3: Cross multiply
    462,112.80x = 692,002.80 × 303,482.40
  4. Step 4: Simplify right side
    462,112.80x = 210,010,670,550.72
  5. Step 5: Solve for x
    x = 210,010,670,550.72/462,112.80
  6. Step 6: Final answer
    x = 454,457.59

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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.