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Finding the Fourth Proportional to 356,611.13, 535,582.92 and 313,931.69

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Solution

The fourth proportional to 356,611.13, 535,582.92 and 313,931.69 is: 471,484.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,611.13 : 535,582.92 = 313,931.69 : x
  2. Step 2: Convert to fraction form
    356,611.13/535,582.92 = 313,931.69/x
  3. Step 3: Cross multiply
    356,611.13x = 535,582.92 × 313,931.69
  4. Step 4: Simplify right side
    356,611.13x = 168,136,451,210.74
  5. Step 5: Solve for x
    x = 168,136,451,210.74/356,611.13
  6. Step 6: Final answer
    x = 471,484.03

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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.