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Finding the Fourth Proportional to 301,657.54, 452,485.91 and 77,018.01

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Solution

The fourth proportional to 301,657.54, 452,485.91 and 77,018.01 is: 115,526.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,657.54 : 452,485.91 = 77,018.01 : x
  2. Step 2: Convert to fraction form
    301,657.54/452,485.91 = 77,018.01/x
  3. Step 3: Cross multiply
    301,657.54x = 452,485.91 × 77,018.01
  4. Step 4: Simplify right side
    301,657.54x = 34,849,564,341.24
  5. Step 5: Solve for x
    x = 34,849,564,341.24/301,657.54
  6. Step 6: Final answer
    x = 115,526.91

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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.