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Finding the Fourth Proportional to 590,725.71, 814,697.60 and 499,287.24

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Solution

The fourth proportional to 590,725.71, 814,697.60 and 499,287.24 is: 688,590.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,725.71 : 814,697.60 = 499,287.24 : x
  2. Step 2: Convert to fraction form
    590,725.71/814,697.60 = 499,287.24/x
  3. Step 3: Cross multiply
    590,725.71x = 814,697.60 × 499,287.24
  4. Step 4: Simplify right side
    590,725.71x = 406,768,113,642.19
  5. Step 5: Solve for x
    x = 406,768,113,642.19/590,725.71
  6. Step 6: Final answer
    x = 688,590.50

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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.