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Finding the Fourth Proportional to 462,009.64, 692,047.74 and 371,563.40

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Solution

The fourth proportional to 462,009.64, 692,047.74 and 371,563.40 is: 556,567.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,009.64 : 692,047.74 = 371,563.40 : x
  2. Step 2: Convert to fraction form
    462,009.64/692,047.74 = 371,563.40/x
  3. Step 3: Cross multiply
    462,009.64x = 692,047.74 × 371,563.40
  4. Step 4: Simplify right side
    462,009.64x = 257,139,611,236.72
  5. Step 5: Solve for x
    x = 257,139,611,236.72/462,009.64
  6. Step 6: Final answer
    x = 556,567.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.