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Finding the Fourth Proportional to 531,746.98, 733,784.30 and 302,274.18

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Solution

The fourth proportional to 531,746.98, 733,784.30 and 302,274.18 is: 417,123.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,746.98 : 733,784.30 = 302,274.18 : x
  2. Step 2: Convert to fraction form
    531,746.98/733,784.30 = 302,274.18/x
  3. Step 3: Cross multiply
    531,746.98x = 733,784.30 × 302,274.18
  4. Step 4: Simplify right side
    531,746.98x = 221,804,047,201.53
  5. Step 5: Solve for x
    x = 221,804,047,201.53/531,746.98
  6. Step 6: Final answer
    x = 417,123.29

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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.