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Finding the Fourth Proportional to 553,666.30, 830,499.45 and 413,698.30

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Solution

The fourth proportional to 553,666.30, 830,499.45 and 413,698.30 is: 620,547.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,666.30 : 830,499.45 = 413,698.30 : x
  2. Step 2: Convert to fraction form
    553,666.30/830,499.45 = 413,698.30/x
  3. Step 3: Cross multiply
    553,666.30x = 830,499.45 × 413,698.30
  4. Step 4: Simplify right side
    553,666.30x = 343,576,210,615.94
  5. Step 5: Solve for x
    x = 343,576,210,615.94/553,666.30
  6. Step 6: Final answer
    x = 620,547.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.