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Finding the Fourth Proportional to 434,096.40, 608,564.40 and 434,096.40

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Solution

The fourth proportional to 434,096.40, 608,564.40 and 434,096.40 is: 608,564.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,096.40 : 608,564.40 = 434,096.40 : x
  2. Step 2: Convert to fraction form
    434,096.40/608,564.40 = 434,096.40/x
  3. Step 3: Cross multiply
    434,096.40x = 608,564.40 × 434,096.40
  4. Step 4: Simplify right side
    434,096.40x = 264,175,615,208.16
  5. Step 5: Solve for x
    x = 264,175,615,208.16/434,096.40
  6. Step 6: Final answer
    x = 608,564.40

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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.