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Finding the Fourth Proportional to 411,465.40, 616,031.70 and 364,809.40

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Solution

The fourth proportional to 411,465.40, 616,031.70 and 364,809.40 is: 546,179.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,465.40 : 616,031.70 = 364,809.40 : x
  2. Step 2: Convert to fraction form
    411,465.40/616,031.70 = 364,809.40/x
  3. Step 3: Cross multiply
    411,465.40x = 616,031.70 × 364,809.40
  4. Step 4: Simplify right side
    411,465.40x = 224,734,154,857.98
  5. Step 5: Solve for x
    x = 224,734,154,857.98/411,465.40
  6. Step 6: Final answer
    x = 546,179.96

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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.