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Finding the Fourth Proportional to 421,445, 581,594.64 and 230,457.80

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Solution

The fourth proportional to 421,445, 581,594.64 and 230,457.80 is: 318,032.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,445 : 581,594.64 = 230,457.80 : x
  2. Step 2: Convert to fraction form
    421,445/581,594.64 = 230,457.80/x
  3. Step 3: Cross multiply
    421,445x = 581,594.64 × 230,457.80
  4. Step 4: Simplify right side
    421,445x = 134,033,021,226.19
  5. Step 5: Solve for x
    x = 134,033,021,226.19/421,445
  6. Step 6: Final answer
    x = 318,032.06

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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.