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Finding the Fourth Proportional to 492,365.80, 738,548.70 and 176,871.40

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Solution

The fourth proportional to 492,365.80, 738,548.70 and 176,871.40 is: 265,307.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,365.80 : 738,548.70 = 176,871.40 : x
  2. Step 2: Convert to fraction form
    492,365.80/738,548.70 = 176,871.40/x
  3. Step 3: Cross multiply
    492,365.80x = 738,548.70 × 176,871.40
  4. Step 4: Simplify right side
    492,365.80x = 130,628,142,537.18
  5. Step 5: Solve for x
    x = 130,628,142,537.18/492,365.80
  6. Step 6: Final answer
    x = 265,307.10

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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.