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Finding the Fourth Proportional to 653,368.12, 901,658.85 and 362,998.63

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Solution

The fourth proportional to 653,368.12, 901,658.85 and 362,998.63 is: 500,944.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,368.12 : 901,658.85 = 362,998.63 : x
  2. Step 2: Convert to fraction form
    653,368.12/901,658.85 = 362,998.63/x
  3. Step 3: Cross multiply
    653,368.12x = 901,658.85 × 362,998.63
  4. Step 4: Simplify right side
    653,368.12x = 327,300,927,277.38
  5. Step 5: Solve for x
    x = 327,300,927,277.38/653,368.12
  6. Step 6: Final answer
    x = 500,944.13

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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.