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Finding the Fourth Proportional to 346,218.86, 519,386.62 and 159,225.50

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Solution

The fourth proportional to 346,218.86, 519,386.62 and 159,225.50 is: 238,865.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,218.86 : 519,386.62 = 159,225.50 : x
  2. Step 2: Convert to fraction form
    346,218.86/519,386.62 = 159,225.50/x
  3. Step 3: Cross multiply
    346,218.86x = 519,386.62 × 159,225.50
  4. Step 4: Simplify right side
    346,218.86x = 82,699,594,262.81
  5. Step 5: Solve for x
    x = 82,699,594,262.81/346,218.86
  6. Step 6: Final answer
    x = 238,865.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.