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Finding the Fourth Proportional to 462,003.54, 692,038.63 and 371,557.34

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Solution

The fourth proportional to 462,003.54, 692,038.63 and 371,557.34 is: 556,558.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,003.54 : 692,038.63 = 371,557.34 : x
  2. Step 2: Convert to fraction form
    462,003.54/692,038.63 = 371,557.34/x
  3. Step 3: Cross multiply
    462,003.54x = 692,038.63 × 371,557.34
  4. Step 4: Simplify right side
    462,003.54x = 257,132,030,809.95
  5. Step 5: Solve for x
    x = 257,132,030,809.95/462,003.54
  6. Step 6: Final answer
    x = 556,558.58

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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.