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Finding the Fourth Proportional to 462,133.12, 692,595.76 and 334,479.22

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Solution

The fourth proportional to 462,133.12, 692,595.76 and 334,479.22 is: 501,281.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,133.12 : 692,595.76 = 334,479.22 : x
  2. Step 2: Convert to fraction form
    462,133.12/692,595.76 = 334,479.22/x
  3. Step 3: Cross multiply
    462,133.12x = 692,595.76 × 334,479.22
  4. Step 4: Simplify right side
    462,133.12x = 231,658,889,580.11
  5. Step 5: Solve for x
    x = 231,658,889,580.11/462,133.12
  6. Step 6: Final answer
    x = 501,281.73

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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.