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Finding the Fourth Proportional to 411,384.81, 614,343.40 and 406,931.53

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Solution

The fourth proportional to 411,384.81, 614,343.40 and 406,931.53 is: 607,693.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,384.81 : 614,343.40 = 406,931.53 : x
  2. Step 2: Convert to fraction form
    411,384.81/614,343.40 = 406,931.53/x
  3. Step 3: Cross multiply
    411,384.81x = 614,343.40 × 406,931.53
  4. Step 4: Simplify right side
    411,384.81x = 249,995,699,707.40
  5. Step 5: Solve for x
    x = 249,995,699,707.40/411,384.81
  6. Step 6: Final answer
    x = 607,693.07

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.