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Finding the Fourth Proportional to 282,806.48, 424,209.72 and 116,590.16

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Solution

The fourth proportional to 282,806.48, 424,209.72 and 116,590.16 is: 174,885.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,806.48 : 424,209.72 = 116,590.16 : x
  2. Step 2: Convert to fraction form
    282,806.48/424,209.72 = 116,590.16/x
  3. Step 3: Cross multiply
    282,806.48x = 424,209.72 × 116,590.16
  4. Step 4: Simplify right side
    282,806.48x = 49,458,679,128.36
  5. Step 5: Solve for x
    x = 49,458,679,128.36/282,806.48
  6. Step 6: Final answer
    x = 174,885.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.