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Finding the Fourth Proportional to 415,245.69, 573,038.91 and 224,259.12

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Solution

The fourth proportional to 415,245.69, 573,038.91 and 224,259.12 is: 309,477.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,245.69 : 573,038.91 = 224,259.12 : x
  2. Step 2: Convert to fraction form
    415,245.69/573,038.91 = 224,259.12/x
  3. Step 3: Cross multiply
    415,245.69x = 573,038.91 × 224,259.12
  4. Step 4: Simplify right side
    415,245.69x = 128,509,201,682.36
  5. Step 5: Solve for x
    x = 128,509,201,682.36/415,245.69
  6. Step 6: Final answer
    x = 309,477.51

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Double scale
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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.