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Finding the Fourth Proportional to 407,823.40, 611,735.10 and 407,823.40

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Solution

The fourth proportional to 407,823.40, 611,735.10 and 407,823.40 is: 611,735.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,823.40 : 611,735.10 = 407,823.40 : x
  2. Step 2: Convert to fraction form
    407,823.40/611,735.10 = 407,823.40/x
  3. Step 3: Cross multiply
    407,823.40x = 611,735.10 × 407,823.40
  4. Step 4: Simplify right side
    407,823.40x = 249,479,888,381.34
  5. Step 5: Solve for x
    x = 249,479,888,381.34/407,823.40
  6. Step 6: Final answer
    x = 611,735.10

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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.