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Finding the Fourth Proportional to 495,054, 742,595.58 and 121,077

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Solution

The fourth proportional to 495,054, 742,595.58 and 121,077 is: 181,619.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,054 : 742,595.58 = 121,077 : x
  2. Step 2: Convert to fraction form
    495,054/742,595.58 = 121,077/x
  3. Step 3: Cross multiply
    495,054x = 742,595.58 × 121,077
  4. Step 4: Simplify right side
    495,054x = 89,911,245,039.66
  5. Step 5: Solve for x
    x = 89,911,245,039.66/495,054
  6. Step 6: Final answer
    x = 181,619.07

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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.