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Finding the Fourth Proportional to 657,123.40, 984,518.70 and 407,513.80

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Solution

The fourth proportional to 657,123.40, 984,518.70 and 407,513.80 is: 610,547.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,123.40 : 984,518.70 = 407,513.80 : x
  2. Step 2: Convert to fraction form
    657,123.40/984,518.70 = 407,513.80/x
  3. Step 3: Cross multiply
    657,123.40x = 984,518.70 × 407,513.80
  4. Step 4: Simplify right side
    657,123.40x = 401,204,956,608.06
  5. Step 5: Solve for x
    x = 401,204,956,608.06/657,123.40
  6. Step 6: Final answer
    x = 610,547.36

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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.