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Finding the Fourth Proportional to 602,826.48, 904,261.59 and 182,106

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Solution

The fourth proportional to 602,826.48, 904,261.59 and 182,106 is: 273,165.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,826.48 : 904,261.59 = 182,106 : x
  2. Step 2: Convert to fraction form
    602,826.48/904,261.59 = 182,106/x
  3. Step 3: Cross multiply
    602,826.48x = 904,261.59 × 182,106
  4. Step 4: Simplify right side
    602,826.48x = 164,671,461,108.54
  5. Step 5: Solve for x
    x = 164,671,461,108.54/602,826.48
  6. Step 6: Final answer
    x = 273,165.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.