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Finding the Fourth Proportional to 456,479.64, 684,881.55 and 203,737.14

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Solution

The fourth proportional to 456,479.64, 684,881.55 and 203,737.14 is: 305,678.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,479.64 : 684,881.55 = 203,737.14 : x
  2. Step 2: Convert to fraction form
    456,479.64/684,881.55 = 203,737.14/x
  3. Step 3: Cross multiply
    456,479.64x = 684,881.55 × 203,737.14
  4. Step 4: Simplify right side
    456,479.64x = 139,535,808,235.77
  5. Step 5: Solve for x
    x = 139,535,808,235.77/456,479.64
  6. Step 6: Final answer
    x = 305,678.05

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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.