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Finding the Fourth Proportional to 473,547.83, 653,541.05 and 258,720.17

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Solution

The fourth proportional to 473,547.83, 653,541.05 and 258,720.17 is: 357,058.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,547.83 : 653,541.05 = 258,720.17 : x
  2. Step 2: Convert to fraction form
    473,547.83/653,541.05 = 258,720.17/x
  3. Step 3: Cross multiply
    473,547.83x = 653,541.05 × 258,720.17
  4. Step 4: Simplify right side
    473,547.83x = 169,084,250,264.38
  5. Step 5: Solve for x
    x = 169,084,250,264.38/473,547.83
  6. Step 6: Final answer
    x = 357,058.44

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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.