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Finding the Fourth Proportional to 277,312.32, 415,716.48 and 144,036.48

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Solution

The fourth proportional to 277,312.32, 415,716.48 and 144,036.48 is: 215,923.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,312.32 : 415,716.48 = 144,036.48 : x
  2. Step 2: Convert to fraction form
    277,312.32/415,716.48 = 144,036.48/x
  3. Step 3: Cross multiply
    277,312.32x = 415,716.48 × 144,036.48
  4. Step 4: Simplify right side
    277,312.32x = 59,878,338,457.19
  5. Step 5: Solve for x
    x = 59,878,338,457.19/277,312.32
  6. Step 6: Final answer
    x = 215,923.83

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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.