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Finding the Fourth Proportional to 432,526.02, 596,861.16 and 258,292.86

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Solution

The fourth proportional to 432,526.02, 596,861.16 and 258,292.86 is: 356,429.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,526.02 : 596,861.16 = 258,292.86 : x
  2. Step 2: Convert to fraction form
    432,526.02/596,861.16 = 258,292.86/x
  3. Step 3: Cross multiply
    432,526.02x = 596,861.16 × 258,292.86
  4. Step 4: Simplify right side
    432,526.02x = 154,164,976,039.32
  5. Step 5: Solve for x
    x = 154,164,976,039.32/432,526.02
  6. Step 6: Final answer
    x = 356,429.37

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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.