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Finding the Fourth Proportional to 688,988.16, 950,693.76 and 417,009.60

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Solution

The fourth proportional to 688,988.16, 950,693.76 and 417,009.60 is: 575,406.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,988.16 : 950,693.76 = 417,009.60 : x
  2. Step 2: Convert to fraction form
    688,988.16/950,693.76 = 417,009.60/x
  3. Step 3: Cross multiply
    688,988.16x = 950,693.76 × 417,009.60
  4. Step 4: Simplify right side
    688,988.16x = 396,448,424,580.10
  5. Step 5: Solve for x
    x = 396,448,424,580.10/688,988.16
  6. Step 6: Final answer
    x = 575,406.73

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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.