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Finding the Fourth Proportional to 472,530.83, 652,381.63 and 291,490.16

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Solution

The fourth proportional to 472,530.83, 652,381.63 and 291,490.16 is: 402,434.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,530.83 : 652,381.63 = 291,490.16 : x
  2. Step 2: Convert to fraction form
    472,530.83/652,381.63 = 291,490.16/x
  3. Step 3: Cross multiply
    472,530.83x = 652,381.63 × 291,490.16
  4. Step 4: Simplify right side
    472,530.83x = 190,162,821,719.13
  5. Step 5: Solve for x
    x = 190,162,821,719.13/472,530.83
  6. Step 6: Final answer
    x = 402,434.74

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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.