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Finding the Fourth Proportional to 947,640, 1,421,706.24 and 282,792

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Solution

The fourth proportional to 947,640, 1,421,706.24 and 282,792 is: 424,261.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,640 : 1,421,706.24 = 282,792 : x
  2. Step 2: Convert to fraction form
    947,640/1,421,706.24 = 282,792/x
  3. Step 3: Cross multiply
    947,640x = 1,421,706.24 × 282,792
  4. Step 4: Simplify right side
    947,640x = 402,047,151,022.08
  5. Step 5: Solve for x
    x = 402,047,151,022.08/947,640
  6. Step 6: Final answer
    x = 424,261.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.