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Finding the Fourth Proportional to 424,871.14, 586,322.13 and 233,883.13

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Solution

The fourth proportional to 424,871.14, 586,322.13 and 233,883.13 is: 322,758.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,871.14 : 586,322.13 = 233,883.13 : x
  2. Step 2: Convert to fraction form
    424,871.14/586,322.13 = 233,883.13/x
  3. Step 3: Cross multiply
    424,871.14x = 586,322.13 × 233,883.13
  4. Step 4: Simplify right side
    424,871.14x = 137,130,854,952.67
  5. Step 5: Solve for x
    x = 137,130,854,952.67/424,871.14
  6. Step 6: Final answer
    x = 322,758.70

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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.