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Finding the Fourth Proportional to 497,520.40, 686,036.10 and 336,095.32

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Solution

The fourth proportional to 497,520.40, 686,036.10 and 336,095.32 is: 463,445.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,520.40 : 686,036.10 = 336,095.32 : x
  2. Step 2: Convert to fraction form
    497,520.40/686,036.10 = 336,095.32/x
  3. Step 3: Cross multiply
    497,520.40x = 686,036.10 × 336,095.32
  4. Step 4: Simplify right side
    497,520.40x = 230,573,522,561.05
  5. Step 5: Solve for x
    x = 230,573,522,561.05/497,520.40
  6. Step 6: Final answer
    x = 463,445.36

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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.