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Finding the Fourth Proportional to 360,014.16, 496,798.98 and 214,983.62

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Solution

The fourth proportional to 360,014.16, 496,798.98 and 214,983.62 is: 296,665.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,014.16 : 496,798.98 = 214,983.62 : x
  2. Step 2: Convert to fraction form
    360,014.16/496,798.98 = 214,983.62/x
  3. Step 3: Cross multiply
    360,014.16x = 496,798.98 × 214,983.62
  4. Step 4: Simplify right side
    360,014.16x = 106,803,643,132.71
  5. Step 5: Solve for x
    x = 106,803,643,132.71/360,014.16
  6. Step 6: Final answer
    x = 296,665.12

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1.5x scale

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.