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Finding the Fourth Proportional to 656,136, 905,467.68 and 354,330

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Solution

The fourth proportional to 656,136, 905,467.68 and 354,330 is: 488,975.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,136 : 905,467.68 = 354,330 : x
  2. Step 2: Convert to fraction form
    656,136/905,467.68 = 354,330/x
  3. Step 3: Cross multiply
    656,136x = 905,467.68 × 354,330
  4. Step 4: Simplify right side
    656,136x = 320,834,363,054.40
  5. Step 5: Solve for x
    x = 320,834,363,054.40/656,136
  6. Step 6: Final answer
    x = 488,975.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.