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Finding the Fourth Proportional to 411,464.40, 616,030.20 and 364,808.40

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Solution

The fourth proportional to 411,464.40, 616,030.20 and 364,808.40 is: 546,178.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,464.40 : 616,030.20 = 364,808.40 : x
  2. Step 2: Convert to fraction form
    411,464.40/616,030.20 = 364,808.40/x
  3. Step 3: Cross multiply
    411,464.40x = 616,030.20 × 364,808.40
  4. Step 4: Simplify right side
    411,464.40x = 224,732,991,613.68
  5. Step 5: Solve for x
    x = 224,732,991,613.68/411,464.40
  6. Step 6: Final answer
    x = 546,178.46

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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.