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Finding the Fourth Proportional to 697,416, 1,046,279.52 and 254,184

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Solution

The fourth proportional to 697,416, 1,046,279.52 and 254,184 is: 381,332.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,416 : 1,046,279.52 = 254,184 : x
  2. Step 2: Convert to fraction form
    697,416/1,046,279.52 = 254,184/x
  3. Step 3: Cross multiply
    697,416x = 1,046,279.52 × 254,184
  4. Step 4: Simplify right side
    697,416x = 265,947,513,511.68
  5. Step 5: Solve for x
    x = 265,947,513,511.68/697,416
  6. Step 6: Final answer
    x = 381,332.68

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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.