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Finding the Fourth Proportional to 510,038.93, 703,839.59 and 277,458.16

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Solution

The fourth proportional to 510,038.93, 703,839.59 and 277,458.16 is: 382,884.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,038.93 : 703,839.59 = 277,458.16 : x
  2. Step 2: Convert to fraction form
    510,038.93/703,839.59 = 277,458.16/x
  3. Step 3: Cross multiply
    510,038.93x = 703,839.59 × 277,458.16
  4. Step 4: Simplify right side
    510,038.93x = 195,286,037,576.55
  5. Step 5: Solve for x
    x = 195,286,037,576.55/510,038.93
  6. Step 6: Final answer
    x = 382,884.57

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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.