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Finding the Fourth Proportional to 710,506.46, 980,933.32 and 462,384.83

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Solution

The fourth proportional to 710,506.46, 980,933.32 and 462,384.83 is: 638,373.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,506.46 : 980,933.32 = 462,384.83 : x
  2. Step 2: Convert to fraction form
    710,506.46/980,933.32 = 462,384.83/x
  3. Step 3: Cross multiply
    710,506.46x = 980,933.32 × 462,384.83
  4. Step 4: Simplify right side
    710,506.46x = 453,568,689,439.85
  5. Step 5: Solve for x
    x = 453,568,689,439.85/710,506.46
  6. Step 6: Final answer
    x = 638,373.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.