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Finding the Fourth Proportional to 461,746.52, 692,339.44 and 180,927.32

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Solution

The fourth proportional to 461,746.52, 692,339.44 and 180,927.32 is: 271,281.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,746.52 : 692,339.44 = 180,927.32 : x
  2. Step 2: Convert to fraction form
    461,746.52/692,339.44 = 180,927.32/x
  3. Step 3: Cross multiply
    461,746.52x = 692,339.44 × 180,927.32
  4. Step 4: Simplify right side
    461,746.52x = 125,263,119,409.50
  5. Step 5: Solve for x
    x = 125,263,119,409.50/461,746.52
  6. Step 6: Final answer
    x = 271,281.13

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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.