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Finding the Fourth Proportional to 653,792.84, 902,257.34 and 367,307.16

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Solution

The fourth proportional to 653,792.84, 902,257.34 and 367,307.16 is: 506,896.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,792.84 : 902,257.34 = 367,307.16 : x
  2. Step 2: Convert to fraction form
    653,792.84/902,257.34 = 367,307.16/x
  3. Step 3: Cross multiply
    653,792.84x = 902,257.34 × 367,307.16
  4. Step 4: Simplify right side
    653,792.84x = 331,405,581,144.55
  5. Step 5: Solve for x
    x = 331,405,581,144.55/653,792.84
  6. Step 6: Final answer
    x = 506,896.93

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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.