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Finding the Fourth Proportional to 568,097.84, 784,259.11 and 353,307.11

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Solution

The fourth proportional to 568,097.84, 784,259.11 and 353,307.11 is: 487,740.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,097.84 : 784,259.11 = 353,307.11 : x
  2. Step 2: Convert to fraction form
    568,097.84/784,259.11 = 353,307.11/x
  3. Step 3: Cross multiply
    568,097.84x = 784,259.11 × 353,307.11
  4. Step 4: Simplify right side
    568,097.84x = 277,084,314,840.71
  5. Step 5: Solve for x
    x = 277,084,314,840.71/568,097.84
  6. Step 6: Final answer
    x = 487,740.49

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Double scale
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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.