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Finding the Fourth Proportional to 415,784.87, 573,783.95 and 224,798.26

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Solution

The fourth proportional to 415,784.87, 573,783.95 and 224,798.26 is: 310,222.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,784.87 : 573,783.95 = 224,798.26 : x
  2. Step 2: Convert to fraction form
    415,784.87/573,783.95 = 224,798.26/x
  3. Step 3: Cross multiply
    415,784.87x = 573,783.95 × 224,798.26
  4. Step 4: Simplify right side
    415,784.87x = 128,985,633,779.31
  5. Step 5: Solve for x
    x = 128,985,633,779.31/415,784.87
  6. Step 6: Final answer
    x = 310,222.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.