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Finding the Fourth Proportional to 530,446.93, 732,036.08 and 288,717.82

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Solution

The fourth proportional to 530,446.93, 732,036.08 and 288,717.82 is: 398,441.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,446.93 : 732,036.08 = 288,717.82 : x
  2. Step 2: Convert to fraction form
    530,446.93/732,036.08 = 288,717.82/x
  3. Step 3: Cross multiply
    530,446.93x = 732,036.08 × 288,717.82
  4. Step 4: Simplify right side
    530,446.93x = 211,351,856,075.18
  5. Step 5: Solve for x
    x = 211,351,856,075.18/530,446.93
  6. Step 6: Final answer
    x = 398,441.10

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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.