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Finding the Fourth Proportional to 477,222.32, 715,829.16 and 144,798.32

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Solution

The fourth proportional to 477,222.32, 715,829.16 and 144,798.32 is: 217,196.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,222.32 : 715,829.16 = 144,798.32 : x
  2. Step 2: Convert to fraction form
    477,222.32/715,829.16 = 144,798.32/x
  3. Step 3: Cross multiply
    477,222.32x = 715,829.16 × 144,798.32
  4. Step 4: Simplify right side
    477,222.32x = 103,650,859,775.01
  5. Step 5: Solve for x
    x = 103,650,859,775.01/477,222.32
  6. Step 6: Final answer
    x = 217,196.17

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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.