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Finding the Fourth Proportional to 598,152.93, 824,984.58 and 383,313

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Solution

The fourth proportional to 598,152.93, 824,984.58 and 383,313 is: 528,673.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,152.93 : 824,984.58 = 383,313 : x
  2. Step 2: Convert to fraction form
    598,152.93/824,984.58 = 383,313/x
  3. Step 3: Cross multiply
    598,152.93x = 824,984.58 × 383,313
  4. Step 4: Simplify right side
    598,152.93x = 316,227,314,313.54
  5. Step 5: Solve for x
    x = 316,227,314,313.54/598,152.93
  6. Step 6: Final answer
    x = 528,673.02

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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.