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Finding the Fourth Proportional to 559,807.31, 772,058.71 and 473,017.63

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Solution

The fourth proportional to 559,807.31, 772,058.71 and 473,017.63 is: 652,362.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,807.31 : 772,058.71 = 473,017.63 : x
  2. Step 2: Convert to fraction form
    559,807.31/772,058.71 = 473,017.63/x
  3. Step 3: Cross multiply
    559,807.31x = 772,058.71 × 473,017.63
  4. Step 4: Simplify right side
    559,807.31x = 365,197,381,225.06
  5. Step 5: Solve for x
    x = 365,197,381,225.06/559,807.31
  6. Step 6: Final answer
    x = 652,362.65

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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.