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Finding the Fourth Proportional to 805,409.40, 1,208,459.70 and 411,425.40

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Solution

The fourth proportional to 805,409.40, 1,208,459.70 and 411,425.40 is: 617,314.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    805,409.40 : 1,208,459.70 = 411,425.40 : x
  2. Step 2: Convert to fraction form
    805,409.40/1,208,459.70 = 411,425.40/x
  3. Step 3: Cross multiply
    805,409.40x = 1,208,459.70 × 411,425.40
  4. Step 4: Simplify right side
    805,409.40x = 497,191,015,456.38
  5. Step 5: Solve for x
    x = 497,191,015,456.38/805,409.40
  6. Step 6: Final answer
    x = 617,314.64

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1.5x scale

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.