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Finding the Fourth Proportional to 406,024.51, 559,941.52 and 348,644.31

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Solution

The fourth proportional to 406,024.51, 559,941.52 and 348,644.31 is: 480,809.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,024.51 : 559,941.52 = 348,644.31 : x
  2. Step 2: Convert to fraction form
    406,024.51/559,941.52 = 348,644.31/x
  3. Step 3: Cross multiply
    406,024.51x = 559,941.52 × 348,644.31
  4. Step 4: Simplify right side
    406,024.51x = 195,220,423,137.53
  5. Step 5: Solve for x
    x = 195,220,423,137.53/406,024.51
  6. Step 6: Final answer
    x = 480,809.46

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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.