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Finding the Fourth Proportional to 472,904.30, 652,437.40 and 364,041.93

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Solution

The fourth proportional to 472,904.30, 652,437.40 and 364,041.93 is: 502,246.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,904.30 : 652,437.40 = 364,041.93 : x
  2. Step 2: Convert to fraction form
    472,904.30/652,437.40 = 364,041.93/x
  3. Step 3: Cross multiply
    472,904.30x = 652,437.40 × 364,041.93
  4. Step 4: Simplify right side
    472,904.30x = 237,514,570,300.18
  5. Step 5: Solve for x
    x = 237,514,570,300.18/472,904.30
  6. Step 6: Final answer
    x = 502,246.59

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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.