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Finding the Fourth Proportional to 473,804.22, 710,986.32 and 174,495.18

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Solution

The fourth proportional to 473,804.22, 710,986.32 and 174,495.18 is: 261,845.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,804.22 : 710,986.32 = 174,495.18 : x
  2. Step 2: Convert to fraction form
    473,804.22/710,986.32 = 174,495.18/x
  3. Step 3: Cross multiply
    473,804.22x = 710,986.32 × 174,495.18
  4. Step 4: Simplify right side
    473,804.22x = 124,063,685,885.94
  5. Step 5: Solve for x
    x = 124,063,685,885.94/473,804.22
  6. Step 6: Final answer
    x = 261,845.89

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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.