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Finding the Fourth Proportional to 478,004.51, 717,026.54 and 141,045.16

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Solution

The fourth proportional to 478,004.51, 717,026.54 and 141,045.16 is: 211,573.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,004.51 : 717,026.54 = 141,045.16 : x
  2. Step 2: Convert to fraction form
    478,004.51/717,026.54 = 141,045.16/x
  3. Step 3: Cross multiply
    478,004.51x = 717,026.54 × 141,045.16
  4. Step 4: Simplify right side
    478,004.51x = 101,133,123,587.47
  5. Step 5: Solve for x
    x = 101,133,123,587.47/478,004.51
  6. Step 6: Final answer
    x = 211,573.58

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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.