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Finding the Fourth Proportional to 592,156.48, 816,659.36 and 419,733.40

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Solution

The fourth proportional to 592,156.48, 816,659.36 and 419,733.40 is: 578,865.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,156.48 : 816,659.36 = 419,733.40 : x
  2. Step 2: Convert to fraction form
    592,156.48/816,659.36 = 419,733.40/x
  3. Step 3: Cross multiply
    592,156.48x = 816,659.36 × 419,733.40
  4. Step 4: Simplify right side
    592,156.48x = 342,779,209,814.62
  5. Step 5: Solve for x
    x = 342,779,209,814.62/592,156.48
  6. Step 6: Final answer
    x = 578,865.93

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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.