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Finding the Fourth Proportional to 360,292, 497,202.96 and 201,316

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Solution

The fourth proportional to 360,292, 497,202.96 and 201,316 is: 277,816.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,292 : 497,202.96 = 201,316 : x
  2. Step 2: Convert to fraction form
    360,292/497,202.96 = 201,316/x
  3. Step 3: Cross multiply
    360,292x = 497,202.96 × 201,316
  4. Step 4: Simplify right side
    360,292x = 100,094,911,095.36
  5. Step 5: Solve for x
    x = 100,094,911,095.36/360,292
  6. Step 6: Final answer
    x = 277,816.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.