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Finding the Fourth Proportional to 423,538.59, 584,756.78 and 262,565.67

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Solution

The fourth proportional to 423,538.59, 584,756.78 and 262,565.67 is: 362,510.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,538.59 : 584,756.78 = 262,565.67 : x
  2. Step 2: Convert to fraction form
    423,538.59/584,756.78 = 262,565.67/x
  3. Step 3: Cross multiply
    423,538.59x = 584,756.78 × 262,565.67
  4. Step 4: Simplify right side
    423,538.59x = 153,537,054,414.91
  5. Step 5: Solve for x
    x = 153,537,054,414.91/423,538.59
  6. Step 6: Final answer
    x = 362,510.19

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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.