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Finding the Fourth Proportional to 523,377.04, 722,297.64 and 297,037.12

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Solution

The fourth proportional to 523,377.04, 722,297.64 and 297,037.12 is: 409,932.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,377.04 : 722,297.64 = 297,037.12 : x
  2. Step 2: Convert to fraction form
    523,377.04/722,297.64 = 297,037.12/x
  3. Step 3: Cross multiply
    523,377.04x = 722,297.64 × 297,037.12
  4. Step 4: Simplify right side
    523,377.04x = 214,549,210,768.40
  5. Step 5: Solve for x
    x = 214,549,210,768.40/523,377.04
  6. Step 6: Final answer
    x = 409,932.41

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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.