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Finding the Fourth Proportional to 364,501.40, 502,988.40 and 201,159.36

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Solution

The fourth proportional to 364,501.40, 502,988.40 and 201,159.36 is: 277,586.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,501.40 : 502,988.40 = 201,159.36 : x
  2. Step 2: Convert to fraction form
    364,501.40/502,988.40 = 201,159.36/x
  3. Step 3: Cross multiply
    364,501.40x = 502,988.40 × 201,159.36
  4. Step 4: Simplify right side
    364,501.40x = 101,180,824,631.42
  5. Step 5: Solve for x
    x = 101,180,824,631.42/364,501.40
  6. Step 6: Final answer
    x = 277,586.93

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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.