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Finding the Fourth Proportional to 460,034.34, 689,818.23 and 210,502.50

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Solution

The fourth proportional to 460,034.34, 689,818.23 and 210,502.50 is: 315,647.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,034.34 : 689,818.23 = 210,502.50 : x
  2. Step 2: Convert to fraction form
    460,034.34/689,818.23 = 210,502.50/x
  3. Step 3: Cross multiply
    460,034.34x = 689,818.23 × 210,502.50
  4. Step 4: Simplify right side
    460,034.34x = 145,208,461,960.58
  5. Step 5: Solve for x
    x = 145,208,461,960.58/460,034.34
  6. Step 6: Final answer
    x = 315,647.01

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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.