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Finding the Fourth Proportional to 498,576, 688,038.24 and 272,224.32

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Solution

The fourth proportional to 498,576, 688,038.24 and 272,224.32 is: 375,671.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,576 : 688,038.24 = 272,224.32 : x
  2. Step 2: Convert to fraction form
    498,576/688,038.24 = 272,224.32/x
  3. Step 3: Cross multiply
    498,576x = 688,038.24 × 272,224.32
  4. Step 4: Simplify right side
    498,576x = 187,300,742,018.00
  5. Step 5: Solve for x
    x = 187,300,742,018.00/498,576
  6. Step 6: Final answer
    x = 375,671.40

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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.