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Finding the Fourth Proportional to 415,785.24, 573,784.47 and 224,798.64

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Solution

The fourth proportional to 415,785.24, 573,784.47 and 224,798.64 is: 310,222.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,785.24 : 573,784.47 = 224,798.64 : x
  2. Step 2: Convert to fraction form
    415,785.24/573,784.47 = 224,798.64/x
  3. Step 3: Cross multiply
    415,785.24x = 573,784.47 × 224,798.64
  4. Step 4: Simplify right side
    415,785.24x = 128,985,968,509.12
  5. Step 5: Solve for x
    x = 128,985,968,509.12/415,785.24
  6. Step 6: Final answer
    x = 310,222.58

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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.