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Finding the Fourth Proportional to 506,919.84, 699,567.14 and 277,477.28

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Solution

The fourth proportional to 506,919.84, 699,567.14 and 277,477.28 is: 382,928.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,919.84 : 699,567.14 = 277,477.28 : x
  2. Step 2: Convert to fraction form
    506,919.84/699,567.14 = 277,477.28/x
  3. Step 3: Cross multiply
    506,919.84x = 699,567.14 × 277,477.28
  4. Step 4: Simplify right side
    506,919.84x = 194,113,987,184.58
  5. Step 5: Solve for x
    x = 194,113,987,184.58/506,919.84
  6. Step 6: Final answer
    x = 382,928.37

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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.