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Finding the Fourth Proportional to 532,127.40, 734,239.12 and 314,371.53

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Solution

The fourth proportional to 532,127.40, 734,239.12 and 314,371.53 is: 433,775.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,127.40 : 734,239.12 = 314,371.53 : x
  2. Step 2: Convert to fraction form
    532,127.40/734,239.12 = 314,371.53/x
  3. Step 3: Cross multiply
    532,127.40x = 734,239.12 × 314,371.53
  4. Step 4: Simplify right side
    532,127.40x = 230,823,871,869.06
  5. Step 5: Solve for x
    x = 230,823,871,869.06/532,127.40
  6. Step 6: Final answer
    x = 433,775.58

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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.