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Finding the Fourth Proportional to 541,438.42, 808,282.51 and 470,599.06

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Solution

The fourth proportional to 541,438.42, 808,282.51 and 470,599.06 is: 702,530.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,438.42 : 808,282.51 = 470,599.06 : x
  2. Step 2: Convert to fraction form
    541,438.42/808,282.51 = 470,599.06/x
  3. Step 3: Cross multiply
    541,438.42x = 808,282.51 × 470,599.06
  4. Step 4: Simplify right side
    541,438.42x = 380,376,987,067.45
  5. Step 5: Solve for x
    x = 380,376,987,067.45/541,438.42
  6. Step 6: Final answer
    x = 702,530.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.