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Finding the Fourth Proportional to 286,513.20, 429,856.20 and 153,457.20

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Solution

The fourth proportional to 286,513.20, 429,856.20 and 153,457.20 is: 230,232.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,513.20 : 429,856.20 = 153,457.20 : x
  2. Step 2: Convert to fraction form
    286,513.20/429,856.20 = 153,457.20/x
  3. Step 3: Cross multiply
    286,513.20x = 429,856.20 × 153,457.20
  4. Step 4: Simplify right side
    286,513.20x = 65,964,528,854.64
  5. Step 5: Solve for x
    x = 65,964,528,854.64/286,513.20
  6. Step 6: Final answer
    x = 230,232.08

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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.