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Finding the Fourth Proportional to 530,746.09, 732,438.36 and 289,033.38

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Solution

The fourth proportional to 530,746.09, 732,438.36 and 289,033.38 is: 398,870.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,746.09 : 732,438.36 = 289,033.38 : x
  2. Step 2: Convert to fraction form
    530,746.09/732,438.36 = 289,033.38/x
  3. Step 3: Cross multiply
    530,746.09x = 732,438.36 × 289,033.38
  4. Step 4: Simplify right side
    530,746.09x = 211,699,134,832.46
  5. Step 5: Solve for x
    x = 211,699,134,832.46/530,746.09
  6. Step 6: Final answer
    x = 398,870.83

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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.