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Finding the Fourth Proportional to 569,127.84, 785,396.16 and 314,476.80

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Solution

The fourth proportional to 569,127.84, 785,396.16 and 314,476.80 is: 433,977.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,127.84 : 785,396.16 = 314,476.80 : x
  2. Step 2: Convert to fraction form
    569,127.84/785,396.16 = 314,476.80/x
  3. Step 3: Cross multiply
    569,127.84x = 785,396.16 × 314,476.80
  4. Step 4: Simplify right side
    569,127.84x = 246,988,871,129.09
  5. Step 5: Solve for x
    x = 246,988,871,129.09/569,127.84
  6. Step 6: Final answer
    x = 433,977.84

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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.