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Finding the Fourth Proportional to 506,646.42, 699,172.74 and 277,225.26

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Solution

The fourth proportional to 506,646.42, 699,172.74 and 277,225.26 is: 382,571.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,646.42 : 699,172.74 = 277,225.26 : x
  2. Step 2: Convert to fraction form
    506,646.42/699,172.74 = 277,225.26/x
  3. Step 3: Cross multiply
    506,646.42x = 699,172.74 × 277,225.26
  4. Step 4: Simplify right side
    506,646.42x = 193,828,344,631.41
  5. Step 5: Solve for x
    x = 193,828,344,631.41/506,646.42
  6. Step 6: Final answer
    x = 382,571.23

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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.