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Finding the Fourth Proportional to 291,703.04, 402,550.20 and 157,567.04

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Solution

The fourth proportional to 291,703.04, 402,550.20 and 157,567.04 is: 217,442.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,703.04 : 402,550.20 = 157,567.04 : x
  2. Step 2: Convert to fraction form
    291,703.04/402,550.20 = 157,567.04/x
  3. Step 3: Cross multiply
    291,703.04x = 402,550.20 × 157,567.04
  4. Step 4: Simplify right side
    291,703.04x = 63,428,643,465.41
  5. Step 5: Solve for x
    x = 63,428,643,465.41/291,703.04
  6. Step 6: Final answer
    x = 217,442.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.