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Finding the Fourth Proportional to 559,725.48, 772,412.61 and 314,710.47

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Solution

The fourth proportional to 559,725.48, 772,412.61 and 314,710.47 is: 434,295.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,725.48 : 772,412.61 = 314,710.47 : x
  2. Step 2: Convert to fraction form
    559,725.48/772,412.61 = 314,710.47/x
  3. Step 3: Cross multiply
    559,725.48x = 772,412.61 × 314,710.47
  4. Step 4: Simplify right side
    559,725.48x = 243,086,335,527.03
  5. Step 5: Solve for x
    x = 243,086,335,527.03/559,725.48
  6. Step 6: Final answer
    x = 434,295.64

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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.