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Finding the Fourth Proportional to 200,547.60, 300,821.40 and 171,023.10

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Solution

The fourth proportional to 200,547.60, 300,821.40 and 171,023.10 is: 256,534.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,547.60 : 300,821.40 = 171,023.10 : x
  2. Step 2: Convert to fraction form
    200,547.60/300,821.40 = 171,023.10/x
  3. Step 3: Cross multiply
    200,547.60x = 300,821.40 × 171,023.10
  4. Step 4: Simplify right side
    200,547.60x = 51,447,408,374.34
  5. Step 5: Solve for x
    x = 51,447,408,374.34/200,547.60
  6. Step 6: Final answer
    x = 256,534.65

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1.5x scale

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.