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Finding the Fourth Proportional to 292,495, 438,742.56 and 105,506.48

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Solution

The fourth proportional to 292,495, 438,742.56 and 105,506.48 is: 158,259.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,495 : 438,742.56 = 105,506.48 : x
  2. Step 2: Convert to fraction form
    292,495/438,742.56 = 105,506.48/x
  3. Step 3: Cross multiply
    292,495x = 438,742.56 × 105,506.48
  4. Step 4: Simplify right side
    292,495x = 46,290,183,131.79
  5. Step 5: Solve for x
    x = 46,290,183,131.79/292,495
  6. Step 6: Final answer
    x = 158,259.74

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1.5x scale

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.