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Finding the Fourth Proportional to 434,468.40, 609,085.20 and 434,468.40

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Solution

The fourth proportional to 434,468.40, 609,085.20 and 434,468.40 is: 609,085.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,468.40 : 609,085.20 = 434,468.40 : x
  2. Step 2: Convert to fraction form
    434,468.40/609,085.20 = 434,468.40/x
  3. Step 3: Cross multiply
    434,468.40x = 609,085.20 × 434,468.40
  4. Step 4: Simplify right side
    434,468.40x = 264,628,272,307.68
  5. Step 5: Solve for x
    x = 264,628,272,307.68/434,468.40
  6. Step 6: Final answer
    x = 609,085.20

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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.