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Finding the Fourth Proportional to 282,814.48, 424,221.72 and 116,598.16

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Solution

The fourth proportional to 282,814.48, 424,221.72 and 116,598.16 is: 174,897.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,814.48 : 424,221.72 = 116,598.16 : x
  2. Step 2: Convert to fraction form
    282,814.48/424,221.72 = 116,598.16/x
  3. Step 3: Cross multiply
    282,814.48x = 424,221.72 × 116,598.16
  4. Step 4: Simplify right side
    282,814.48x = 49,463,471,984.04
  5. Step 5: Solve for x
    x = 49,463,471,984.04/282,814.48
  6. Step 6: Final answer
    x = 174,897.24

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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.