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Finding the Fourth Proportional to 411,970.60, 578,003 and 411,970.60

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Solution

The fourth proportional to 411,970.60, 578,003 and 411,970.60 is: 578,003

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,970.60 : 578,003 = 411,970.60 : x
  2. Step 2: Convert to fraction form
    411,970.60/578,003 = 411,970.60/x
  3. Step 3: Cross multiply
    411,970.60x = 578,003 × 411,970.60
  4. Step 4: Simplify right side
    411,970.60x = 238,120,242,711.80
  5. Step 5: Solve for x
    x = 238,120,242,711.80/411,970.60
  6. Step 6: Final answer
    x = 578,003

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.