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Finding the Fourth Proportional to 713,037.96, 984,019.48 and 407,164.12

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Solution

The fourth proportional to 713,037.96, 984,019.48 and 407,164.12 is: 561,901.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,037.96 : 984,019.48 = 407,164.12 : x
  2. Step 2: Convert to fraction form
    713,037.96/984,019.48 = 407,164.12/x
  3. Step 3: Cross multiply
    713,037.96x = 984,019.48 × 407,164.12
  4. Step 4: Simplify right side
    713,037.96x = 400,657,425,637.06
  5. Step 5: Solve for x
    x = 400,657,425,637.06/713,037.96
  6. Step 6: Final answer
    x = 561,901.96

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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.