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Finding the Fourth Proportional to 407,437.44, 562,269.84 and 223,691.16

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Solution

The fourth proportional to 407,437.44, 562,269.84 and 223,691.16 is: 308,697.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,437.44 : 562,269.84 = 223,691.16 : x
  2. Step 2: Convert to fraction form
    407,437.44/562,269.84 = 223,691.16/x
  3. Step 3: Cross multiply
    407,437.44x = 562,269.84 × 223,691.16
  4. Step 4: Simplify right side
    407,437.44x = 125,774,792,742.61
  5. Step 5: Solve for x
    x = 125,774,792,742.61/407,437.44
  6. Step 6: Final answer
    x = 308,697.19

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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.