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Finding the Fourth Proportional to 413,400.81, 570,349.08 and 260,452.67

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Solution

The fourth proportional to 413,400.81, 570,349.08 and 260,452.67 is: 359,333.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,400.81 : 570,349.08 = 260,452.67 : x
  2. Step 2: Convert to fraction form
    413,400.81/570,349.08 = 260,452.67/x
  3. Step 3: Cross multiply
    413,400.81x = 570,349.08 × 260,452.67
  4. Step 4: Simplify right side
    413,400.81x = 148,548,937,866.30
  5. Step 5: Solve for x
    x = 148,548,937,866.30/413,400.81
  6. Step 6: Final answer
    x = 359,333.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.