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Finding the Fourth Proportional to 492,678.09, 739,017.14 and 176,962.77

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Solution

The fourth proportional to 492,678.09, 739,017.14 and 176,962.77 is: 265,444.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,678.09 : 739,017.14 = 176,962.77 : x
  2. Step 2: Convert to fraction form
    492,678.09/739,017.14 = 176,962.77/x
  3. Step 3: Cross multiply
    492,678.09x = 739,017.14 × 176,962.77
  4. Step 4: Simplify right side
    492,678.09x = 130,778,519,287.06
  5. Step 5: Solve for x
    x = 130,778,519,287.06/492,678.09
  6. Step 6: Final answer
    x = 265,444.16

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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.