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Finding the Fourth Proportional to 559,334.17, 771,834.09 and 314,300.26

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Solution

The fourth proportional to 559,334.17, 771,834.09 and 314,300.26 is: 433,707.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,334.17 : 771,834.09 = 314,300.26 : x
  2. Step 2: Convert to fraction form
    559,334.17/771,834.09 = 314,300.26/x
  3. Step 3: Cross multiply
    559,334.17x = 771,834.09 × 314,300.26
  4. Step 4: Simplify right side
    559,334.17x = 242,587,655,163.86
  5. Step 5: Solve for x
    x = 242,587,655,163.86/559,334.17
  6. Step 6: Final answer
    x = 433,707.91

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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.