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Finding the Fourth Proportional to 298,133.64, 411,386.98 and 201,547.60

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Solution

The fourth proportional to 298,133.64, 411,386.98 and 201,547.60 is: 278,110.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,133.64 : 411,386.98 = 201,547.60 : x
  2. Step 2: Convert to fraction form
    298,133.64/411,386.98 = 201,547.60/x
  3. Step 3: Cross multiply
    298,133.64x = 411,386.98 × 201,547.60
  4. Step 4: Simplify right side
    298,133.64x = 82,914,058,490.25
  5. Step 5: Solve for x
    x = 82,914,058,490.25/298,133.64
  6. Step 6: Final answer
    x = 278,110.38

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1.5x scale

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.