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Finding the Fourth Proportional to 651,657.90, 978,361.65 and 416,045.10

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Solution

The fourth proportional to 651,657.90, 978,361.65 and 416,045.10 is: 624,626.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,657.90 : 978,361.65 = 416,045.10 : x
  2. Step 2: Convert to fraction form
    651,657.90/978,361.65 = 416,045.10/x
  3. Step 3: Cross multiply
    651,657.90x = 978,361.65 × 416,045.10
  4. Step 4: Simplify right side
    651,657.90x = 407,042,570,510.42
  5. Step 5: Solve for x
    x = 407,042,570,510.42/651,657.90
  6. Step 6: Final answer
    x = 624,626.16

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Why These Related Problems?

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