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Finding the Fourth Proportional to 369,952.72, 510,477 and 210,946

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Solution

The fourth proportional to 369,952.72, 510,477 and 210,946 is: 291,072.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,952.72 : 510,477 = 210,946 : x
  2. Step 2: Convert to fraction form
    369,952.72/510,477 = 210,946/x
  3. Step 3: Cross multiply
    369,952.72x = 510,477 × 210,946
  4. Step 4: Simplify right side
    369,952.72x = 107,683,081,242
  5. Step 5: Solve for x
    x = 107,683,081,242/369,952.72
  6. Step 6: Final answer
    x = 291,072.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.