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Finding the Fourth Proportional to 421,368.09, 581,792.58 and 260,443.77

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Solution

The fourth proportional to 421,368.09, 581,792.58 and 260,443.77 is: 359,600.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,368.09 : 581,792.58 = 260,443.77 : x
  2. Step 2: Convert to fraction form
    421,368.09/581,792.58 = 260,443.77/x
  3. Step 3: Cross multiply
    421,368.09x = 581,792.58 × 260,443.77
  4. Step 4: Simplify right side
    421,368.09x = 151,524,252,893.23
  5. Step 5: Solve for x
    x = 151,524,252,893.23/421,368.09
  6. Step 6: Final answer
    x = 359,600.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.