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Finding the Fourth Proportional to 200,412.42, 300,547.65 and 58,228.08

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Solution

The fourth proportional to 200,412.42, 300,547.65 and 58,228.08 is: 87,321.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,412.42 : 300,547.65 = 58,228.08 : x
  2. Step 2: Convert to fraction form
    200,412.42/300,547.65 = 58,228.08/x
  3. Step 3: Cross multiply
    200,412.42x = 300,547.65 × 58,228.08
  4. Step 4: Simplify right side
    200,412.42x = 17,500,312,608.01
  5. Step 5: Solve for x
    x = 17,500,312,608.01/200,412.42
  6. Step 6: Final answer
    x = 87,321.50

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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.