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Finding the Fourth Proportional to 462,300.30, 692,284.05 and 303,669.90

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Solution

The fourth proportional to 462,300.30, 692,284.05 and 303,669.90 is: 454,738.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,300.30 : 692,284.05 = 303,669.90 : x
  2. Step 2: Convert to fraction form
    462,300.30/692,284.05 = 303,669.90/x
  3. Step 3: Cross multiply
    462,300.30x = 692,284.05 × 303,669.90
  4. Step 4: Simplify right side
    462,300.30x = 210,225,828,235.10
  5. Step 5: Solve for x
    x = 210,225,828,235.10/462,300.30
  6. Step 6: Final answer
    x = 454,738.68

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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.