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Finding the Fourth Proportional to 978,063.80, 1,464,762.90 and 478,844.60

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Solution

The fourth proportional to 978,063.80, 1,464,762.90 and 478,844.60 is: 717,124.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,063.80 : 1,464,762.90 = 478,844.60 : x
  2. Step 2: Convert to fraction form
    978,063.80/1,464,762.90 = 478,844.60/x
  3. Step 3: Cross multiply
    978,063.80x = 1,464,762.90 × 478,844.60
  4. Step 4: Simplify right side
    978,063.80x = 701,393,804,945.34
  5. Step 5: Solve for x
    x = 701,393,804,945.34/978,063.80
  6. Step 6: Final answer
    x = 717,124.80

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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.