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Finding the Fourth Proportional to 338,388, 507,498.84 and 148,896

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Solution

The fourth proportional to 338,388, 507,498.84 and 148,896 is: 223,307.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,388 : 507,498.84 = 148,896 : x
  2. Step 2: Convert to fraction form
    338,388/507,498.84 = 148,896/x
  3. Step 3: Cross multiply
    338,388x = 507,498.84 × 148,896
  4. Step 4: Simplify right side
    338,388x = 75,564,547,280.64
  5. Step 5: Solve for x
    x = 75,564,547,280.64/338,388
  6. Step 6: Final answer
    x = 223,307.41

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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.