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Finding the Fourth Proportional to 677,603.41, 935,302.10 and 435,886.16

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Solution

The fourth proportional to 677,603.41, 935,302.10 and 435,886.16 is: 601,657.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,603.41 : 935,302.10 = 435,886.16 : x
  2. Step 2: Convert to fraction form
    677,603.41/935,302.10 = 435,886.16/x
  3. Step 3: Cross multiply
    677,603.41x = 935,302.10 × 435,886.16
  4. Step 4: Simplify right side
    677,603.41x = 407,685,233,953.00
  5. Step 5: Solve for x
    x = 407,685,233,953.00/677,603.41
  6. Step 6: Final answer
    x = 601,657.59

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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.