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Finding the Fourth Proportional to 475,289.12, 712,720.64 and 283,254.24

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Solution

The fourth proportional to 475,289.12, 712,720.64 and 283,254.24 is: 424,754.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,289.12 : 712,720.64 = 283,254.24 : x
  2. Step 2: Convert to fraction form
    475,289.12/712,720.64 = 283,254.24/x
  3. Step 3: Cross multiply
    475,289.12x = 712,720.64 × 283,254.24
  4. Step 4: Simplify right side
    475,289.12x = 201,881,143,215.51
  5. Step 5: Solve for x
    x = 201,881,143,215.51/475,289.12
  6. Step 6: Final answer
    x = 424,754.40

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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.