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Finding the Fourth Proportional to 530,604.56, 732,312.86 and 312,853.17

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Solution

The fourth proportional to 530,604.56, 732,312.86 and 312,853.17 is: 431,783.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,604.56 : 732,312.86 = 312,853.17 : x
  2. Step 2: Convert to fraction form
    530,604.56/732,312.86 = 312,853.17/x
  3. Step 3: Cross multiply
    530,604.56x = 732,312.86 × 312,853.17
  4. Step 4: Simplify right side
    530,604.56x = 229,106,399,682.77
  5. Step 5: Solve for x
    x = 229,106,399,682.77/530,604.56
  6. Step 6: Final answer
    x = 431,783.70

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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.