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Finding the Fourth Proportional to 328,675.60, 492,097.56 and 210,054.16

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Solution

The fourth proportional to 328,675.60, 492,097.56 and 210,054.16 is: 314,495.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,675.60 : 492,097.56 = 210,054.16 : x
  2. Step 2: Convert to fraction form
    328,675.60/492,097.56 = 210,054.16/x
  3. Step 3: Cross multiply
    328,675.60x = 492,097.56 × 210,054.16
  4. Step 4: Simplify right side
    328,675.60x = 103,367,139,603.85
  5. Step 5: Solve for x
    x = 103,367,139,603.85/328,675.60
  6. Step 6: Final answer
    x = 314,495.93

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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.