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Finding the Fourth Proportional to 473,423.32, 653,299.59 and 258,521.41

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Solution

The fourth proportional to 473,423.32, 653,299.59 and 258,521.41 is: 356,746.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,423.32 : 653,299.59 = 258,521.41 : x
  2. Step 2: Convert to fraction form
    473,423.32/653,299.59 = 258,521.41/x
  3. Step 3: Cross multiply
    473,423.32x = 653,299.59 × 258,521.41
  4. Step 4: Simplify right side
    473,423.32x = 168,891,931,159.22
  5. Step 5: Solve for x
    x = 168,891,931,159.22/473,423.32
  6. Step 6: Final answer
    x = 356,746.12

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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.